72735480 has 96 divisors (see below), whose sum is σ = 244576800. Its totient is φ = 18724608.

The previous prime is 72735463. The next prime is 72735493. The reversal of 72735480 is 8453727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6957 + ... + 13923.

It is an arithmetic number, because the mean of its divisors is an integer number (2547675).

Almost surely, 2^72735480 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 72735480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122288400).

72735480 is an abundant number, since it is smaller than the sum of its proper divisors (171841320).

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

72735480 is a wasteful number, since it uses less digits than its factorization.

72735480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72735480 is about 8528.5098346663. The cubic root of 72735480 is about 417.4285055724.

The spelling of 72735480 in words is "seventy-two million, seven hundred thirty-five thousand, four hundred eighty".