72474952 has 64 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 31698240.

The previous prime is 72474947. The next prime is 72474967. The reversal of 72474952 is 25947427.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404799 + ... + 404977.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 2^72474952 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 72474952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76982400).

72474952 is an abundant number, since it is smaller than the sum of its proper divisors (81489848).

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

72474952 is a wasteful number, since it uses less digits than its factorization.

72474952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 72474952 is about 8513.2221866929. Note that the first 3 decimals coincide. The cubic root of 72474952 is about 416.9295197627.

The spelling of 72474952 in words is "seventy-two million, four hundred seventy-four thousand, nine hundred fifty-two".