72497832 has 64 divisors (see below), whose sum is σ = 198581760. Its totient is φ = 21873600.

The previous prime is 72497827. The next prime is 72497849. The reversal of 72497832 is 23879427.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81663 + ... + 82545.

It is an arithmetic number, because the mean of its divisors is an integer number (3102840).

Almost surely, 2^72497832 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 72497832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

72497832 is an abundant number, since it is smaller than the sum of its proper divisors (126083928).

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

72497832 is a wasteful number, since it uses less digits than its factorization.

72497832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 72497832 is about 8514.5658726678. The cubic root of 72497832 is about 416.9733893732.

The spelling of 72497832 in words is "seventy-two million, four hundred ninety-seven thousand, eight hundred thirty-two".