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72040704 = 283194937
BaseRepresentation
bin1000100101101…
…00000100000000
312000120001021020
410102310010000
5121420300304
611052025440
71533223131
oct422640400
9160501236
1072040704
113773527a
1220162280
1311c04648
1497d3c88
1564d05d9
hex44b4100

72040704 has 72 divisors (see below), whose sum is σ = 201865440. Its totient is φ = 22745088.

The previous prime is 72040693. The next prime is 72040721. The reversal of 72040704 is 40704027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12124 + ... + 17060.

Almost surely, 272040704 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 72040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100932720).

72040704 is an abundant number, since it is smaller than the sum of its proper divisors (129824736).

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

72040704 is a wasteful number, since it uses less digits than its factorization.

72040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 72040704 is about 8487.6795415473. The cubic root of 72040704 is about 416.0951458898.

The spelling of 72040704 in words is "seventy-two million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 4937 7296 9874 14592 14811 19748 29622 39496 59244 78992 93803 118488 157984 187606 236976 281409 315968 375212 473952 562818 631936 750424 947904 1125636 1263872 1500848 1895808 2251272 3001696 3791616 4502544 6003392 9005088 12006784 18010176 24013568 36020352 72040704