72510500 has 24 divisors (see below), whose sum is σ = 158364024. Its totient is φ = 29004000.

The previous prime is 72510499. The next prime is 72510511. The reversal of 72510500 is 501527.

It can be written as a sum of positive squares in 4 ways, for example, as 11888704 + 60621796 = 3448^2 + 7786^2 .

It is a super-2 number, since 2×72510500² = 10515545220500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 72011 + ... + 73010.

It is an arithmetic number, because the mean of its divisors is an integer number (6598501).

Almost surely, 2^72510500 is an apocalyptic number.

It is an amenable number.

72510500 is an abundant number, since it is smaller than the sum of its proper divisors (85853524).

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

72510500 is a wasteful number, since it uses less digits than its factorization.

72510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145040 (or 145028 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 72510500 is about 8515.3097418708. The cubic root of 72510500 is about 416.9976747489.

The spelling of 72510500 in words is "seventy-two million, five hundred ten thousand, five hundred".