72135792 has 80 divisors (see below), whose sum is σ = 212699680. Its totient is φ = 23390208.

The previous prime is 72135781. The next prime is 72135827. The reversal of 72135792 is 29753127.

72135792 is a `hidden beast` number, since 72 + 13 + 579 + 2 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13728 + ... + 18240.

It is an arithmetic number, because the mean of its divisors is an integer number (2658746).

Almost surely, 2^72135792 is an apocalyptic number.

72135792 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 72135792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106349840).

72135792 is an abundant number, since it is smaller than the sum of its proper divisors (140563888).

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

72135792 is a wasteful number, since it uses less digits than its factorization.

72135792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4555 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72135792 is about 8493.2792253640. The cubic root of 72135792 is about 416.2781362362.

It can be divided in two parts, 72135 and 792, that added together give a palindrome (72927).

The spelling of 72135792 in words is "seventy-two million, one hundred thirty-five thousand, seven hundred ninety-two".