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70072000 = 265319461
BaseRepresentation
bin1000010110100…
…11011011000000
311212212000201021
410023103123000
5120414301000
610541515224
71510413355
oct413233300
9155760637
1070072000
1136610149
121b572b14
131169552b
14944062c
15624211a
hex42d36c0

70072000 has 112 divisors (see below), whose sum is σ = 183062880. Its totient is φ = 26496000.

The previous prime is 70071941. The next prime is 70072001. The reversal of 70072000 is 27007.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151770 + ... + 152230.

It is an arithmetic number, because the mean of its divisors is an integer number (1634490).

Almost surely, 270072000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91531440).

70072000 is an abundant number, since it is smaller than the sum of its proper divisors (112990880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70072000 is a wasteful number, since it uses less digits than its factorization.

70072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 70072000 is about 8370.9019824628. The cubic root of 70072000 is about 412.2697827727.

Adding to 70072000 its reverse (27007), we get a palindrome (70099007).

The spelling of 70072000 in words is "seventy million, seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 461 475 500 608 760 800 922 950 1000 1216 1520 1600 1844 1900 2000 2305 2375 3040 3688 3800 4000 4610 4750 6080 7376 7600 8000 8759 9220 9500 11525 14752 15200 17518 18440 19000 23050 29504 30400 35036 36880 38000 43795 46100 57625 70072 73760 76000 87590 92200 115250 140144 147520 152000 175180 184400 218975 230500 280288 350360 368800 437950 461000 560576 700720 737600 875900 922000 1094875 1401440 1751800 1844000 2189750 2802880 3503600 3688000 4379500 7007200 8759000 14014400 17518000 35036000 70072000