72508832 has 24 divisors (see below), whose sum is σ = 155729952. Its totient is φ = 32958400.

The previous prime is 72508831. The next prime is 72508853. The reversal of 72508832 is 23880527.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72508792 and 72508801.

It is not an unprimeable number, because it can be changed into a prime (72508831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102644 + ... + 103347.

It is an arithmetic number, because the mean of its divisors is an integer number (6488748).

Almost surely, 2^72508832 is an apocalyptic number.

It is an amenable number.

72508832 is an abundant number, since it is smaller than the sum of its proper divisors (83221120).

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

72508832 is a wasteful number, since it uses less digits than its factorization.

72508832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206012 (or 206004 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 72508832 is about 8515.2118000670. The cubic root of 72508832 is about 416.9944772467.

The spelling of 72508832 in words is "seventy-two million, five hundred eight thousand, eight hundred thirty-two".