72113796 has 36 divisors (see below), whose sum is σ = 193012092. Its totient is φ = 22623744.

The previous prime is 72113791. The next prime is 72113831. The reversal of 72113796 is 69731127.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 50211396 = 4680^2 + 7086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72113796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72113791) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58305 + ... + 59528.

It is an arithmetic number, because the mean of its divisors is an integer number (5361447).

Almost surely, 2^72113796 is an apocalyptic number.

It is an amenable number.

72113796 is an abundant number, since it is smaller than the sum of its proper divisors (120898296).

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

72113796 is a wasteful number, since it uses less digits than its factorization.

72113796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117860 (or 117855 counting only the distinct ones).

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

The square root of 72113796 is about 8491.9842204281. The cubic root of 72113796 is about 416.2358207436.

The spelling of 72113796 in words is "seventy-two million, one hundred thirteen thousand, seven hundred ninety-six".