72114792 has 32 divisors (see below), whose sum is σ = 181889280. Its totient is φ = 23824640.

The previous prime is 72114787. The next prime is 72114797. The reversal of 72114792 is 29741127.

It is an interprime number because it is at equal distance from previous prime (72114787) and next prime (72114797).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72114797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10584 + ... + 16007.

It is an arithmetic number, because the mean of its divisors is an integer number (5684040).

Almost surely, 2^72114792 is an apocalyptic number.

It is an amenable number.

72114792 is an abundant number, since it is smaller than the sum of its proper divisors (109774488).

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

72114792 is a wasteful number, since it uses less digits than its factorization.

72114792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26713 (or 26709 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 72114792 is about 8492.0428637637. The cubic root of 72114792 is about 416.2377370157.

The spelling of 72114792 in words is "seventy-two million, one hundred fourteen thousand, seven hundred ninety-two".