72079920 has 240 divisors, whose sum is σ = 278553600. Its totient is φ = 16519680.

The previous prime is 72079913. The next prime is 72079961. The reversal of 72079920 is 2997027.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 150241 + ... + 150719.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 2^72079920 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 72079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

72079920 is an abundant number, since it is smaller than the sum of its proper divisors (206473680).

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

72079920 is a wasteful number, since it uses less digits than its factorization.

72079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72079920 is about 8489.9893992867. The cubic root of 72079920 is about 416.1706338957.

The spelling of 72079920 in words is "seventy-two million, seventy-nine thousand, nine hundred twenty".