72704480 has 48 divisors (see below), whose sum is σ = 175969584. Its totient is φ = 28369920.

The previous prime is 72704477. The next prime is 72704491. The reversal of 72704480 is 8440727.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1019 + ... + 12101.

It is an arithmetic number, because the mean of its divisors is an integer number (3666033).

Almost surely, 2^72704480 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 72704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87984792).

72704480 is an abundant number, since it is smaller than the sum of its proper divisors (103265104).

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

72704480 is a wasteful number, since it uses less digits than its factorization.

72704480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 72704480 is about 8526.6922074155. The cubic root of 72704480 is about 417.3691942042.

The spelling of 72704480 in words is "seventy-two million, seven hundred four thousand, four hundred eighty".