72535720 has 32 divisors (see below), whose sum is σ = 165447720. Its totient is φ = 28615680.

The previous prime is 72535709. The next prime is 72535739. The reversal of 72535720 is 2753527.

It can be written as a sum of positive squares in 4 ways, for example, as 43007364 + 29528356 = 6558^2 + 5434^2 .

It is a super-2 number, since 2×72535720² = 10522861351836800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9501 + ... + 15340.

Almost surely, 2^72535720 is an apocalyptic number.

It is an amenable number.

72535720 is an abundant number, since it is smaller than the sum of its proper divisors (92912000).

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

72535720 is a wasteful number, since it uses less digits than its factorization.

72535720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24925 (or 24921 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 72535720 is about 8516.7904752906. The cubic root of 72535720 is about 417.0460147011.

The spelling of 72535720 in words is "seventy-two million, five hundred thirty-five thousand, seven hundred twenty".