72613872 has 60 divisors (see below), whose sum is σ = 207561120. Its totient is φ = 23687424.

The previous prime is 72613861. The next prime is 72613889. The reversal of 72613872 is 27831627.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404 + ... + 12132.

It is an arithmetic number, because the mean of its divisors is an integer number (3459352).

Almost surely, 2^72613872 is an apocalyptic number.

72613872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72613872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103780560).

72613872 is an abundant number, since it is smaller than the sum of its proper divisors (134947248).

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

72613872 is a wasteful number, since it uses less digits than its factorization.

72613872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10781 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72613872 is about 8521.3773534564. The cubic root of 72613872 is about 417.1957399290.

The spelling of 72613872 in words is "seventy-two million, six hundred thirteen thousand, eight hundred seventy-two".