72605472 has 72 divisors (see below), whose sum is σ = 197185968. Its totient is φ = 23391360.

The previous prime is 72605447. The next prime is 72605483. The reversal of 72605472 is 27450627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91863 + ... + 92649.

It is an arithmetic number, because the mean of its divisors is an integer number (2738694).

Almost surely, 2^72605472 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 72605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98592984).

72605472 is an abundant number, since it is smaller than the sum of its proper divisors (124580496).

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

72605472 is a wasteful number, since it uses less digits than its factorization.

72605472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 72605472 is about 8520.8844611343. The cubic root of 72605472 is about 417.1796521886.

The spelling of 72605472 in words is "seventy-two million, six hundred five thousand, four hundred seventy-two".