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72716070 = 2357714877
BaseRepresentation
bin1000101010110…
…00111100100110
312001211100200210
410111120330212
5122103403240
611114320250
71542035130
oct425307446
9161740623
1072716070
1138056729
1220429086
13120acb7b
14992c050
1565b5780
hex4558f26

72716070 has 64 divisors (see below), whose sum is σ = 202300416. Its totient is φ = 16383360.

The previous prime is 72716069. The next prime is 72716071. The reversal of 72716070 is 7061727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72716069) and next prime (72716071).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72716071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12472 + ... + 17348.

It is an arithmetic number, because the mean of its divisors is an integer number (3160944).

Almost surely, 272716070 is an apocalyptic number.

72716070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72716070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101150208).

72716070 is an abundant number, since it is smaller than the sum of its proper divisors (129584346).

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

72716070 is a wasteful number, since it uses less digits than its factorization.

72716070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 72716070 is about 8527.3718108219. The cubic root of 72716070 is about 417.3913709758.

Adding to 72716070 its reverse (7061727), we get a palindrome (79777797).

The spelling of 72716070 in words is "seventy-two million, seven hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4877 4970 7455 9754 14631 14910 24385 29262 34139 48770 68278 73155 102417 146310 170695 204834 341390 346267 512085 692534 1024170 1038801 1731335 2077602 2423869 3462670 4847738 5194005 7271607 10388010 12119345 14543214 24238690 36358035 72716070