72507816 has 48 divisors (see below), whose sum is σ = 200091060. Its totient is φ = 23712000.

The previous prime is 72507811. The next prime is 72507899. The reversal of 72507816 is 61870527.

72507816 is a `hidden beast` number, since 72 + 507 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72080100 + 427716 = 8490^2 + 654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72507811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5685 + ... + 13316.

Almost surely, 2^72507816 is an apocalyptic number.

It is an amenable number.

72507816 is an abundant number, since it is smaller than the sum of its proper divisors (127583244).

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

72507816 is a wasteful number, since it uses less digits than its factorization.

72507816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19066 (or 19059 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72507816 is about 8515.1521419174. The cubic root of 72507816 is about 416.9925295834.

The spelling of 72507816 in words is "seventy-two million, five hundred seven thousand, eight hundred sixteen".