72652520 has 64 divisors (see below), whose sum is σ = 167832000. Its totient is φ = 28297728.

The previous prime is 72652519. The next prime is 72652537. The reversal of 72652520 is 2525627.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405791 + ... + 405969.

It is an arithmetic number, because the mean of its divisors is an integer number (2622375).

Almost surely, 2^72652520 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 72652520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83916000).

72652520 is an abundant number, since it is smaller than the sum of its proper divisors (95179480).

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

72652520 is a wasteful number, since it uses less digits than its factorization.

72652520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 72652520 is about 8523.6447603123. The cubic root of 72652520 is about 417.2697428745.

The spelling of 72652520 in words is "seventy-two million, six hundred fifty-two thousand, five hundred twenty".