72115920 has 200 divisors, whose sum is σ = 259269120. Its totient is φ = 18558720.

The previous prime is 72115903. The next prime is 72115931. The reversal of 72115920 is 2951127.

72115920 is a `hidden beast` number, since 72 + 1 + 1 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 200701 + ... + 201059.

Almost surely, 2^72115920 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 72115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

72115920 is an abundant number, since it is smaller than the sum of its proper divisors (187153200).

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

72115920 is a wasteful number, since it uses less digits than its factorization.

72115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72115920 is about 8492.1092786186. The cubic root of 72115920 is about 416.2399072303.

It can be divided in two parts, 7211 and 5920, that added together give a palindrome (13131).

The spelling of 72115920 in words is "seventy-two million, one hundred fifteen thousand, nine hundred twenty".