72717520 has 40 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 28928640.

The previous prime is 72717511. The next prime is 72717553. The reversal of 72717520 is 2571727.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12901 + ... + 17659.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2^72717520 is an apocalyptic number.

It is an amenable number.

72717520 is an abundant number, since it is smaller than the sum of its proper divisors (97271600).

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

72717520 is a wasteful number, since it uses less digits than its factorization.

72717520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 72717520 is about 8527.4568307321. The cubic root of 72717520 is about 417.3941452982.

It can be divided in two parts, 72717 and 520, that added together give a palindrome (73237).

The spelling of 72717520 in words is "seventy-two million, seven hundred seventeen thousand, five hundred twenty".