72474720 has 48 divisors (see below), whose sum is σ = 228296880. Its totient is φ = 19326464.

The previous prime is 72474719. The next prime is 72474761. The reversal of 72474720 is 2747427.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75015 + ... + 75974.

It is an arithmetic number, because the mean of its divisors is an integer number (4756185).

Almost surely, 2^72474720 is an apocalyptic number.

It is an amenable number.

72474720 is an abundant number, since it is smaller than the sum of its proper divisors (155822160).

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

72474720 is a wasteful number, since it uses less digits than its factorization.

72474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151007 (or 150999 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 72474720 is about 8513.2085608189. The cubic root of 72474720 is about 416.9290748837.

The spelling of 72474720 in words is "seventy-two million, four hundred seventy-four thousand, seven hundred twenty".