72974496 has 144 divisors (see below), whose sum is σ = 228215232. Its totient is φ = 19998720.

The previous prime is 72974479. The next prime is 72974501. The reversal of 72974496 is 69447927.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645736 + ... + 645848.

It is an arithmetic number, because the mean of its divisors is an integer number (1584828).

Almost surely, 2^72974496 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 72974496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114107616).

72974496 is an abundant number, since it is smaller than the sum of its proper divisors (155240736).

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

72974496 is a wasteful number, since it uses less digits than its factorization.

72974496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 72974496 is about 8542.5111062263. The cubic root of 72974496 is about 417.8852427969.

The spelling of 72974496 in words is "seventy-two million, nine hundred seventy-four thousand, four hundred ninety-six".