72192816 has 40 divisors (see below), whose sum is σ = 207221360. Its totient is φ = 24064128.

The previous prime is 72192811. The next prime is 72192851. The reversal of 72192816 is 61829127.

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

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

It is not an unprimeable number, because it can be changed into a prime (72192811) 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 7 ways as a sum of consecutive naturals, for example, 83125 + ... + 83988.

It is an arithmetic number, because the mean of its divisors is an integer number (5180534).

Almost surely, 2^72192816 is an apocalyptic number.

It is an amenable number.

72192816 is an abundant number, since it is smaller than the sum of its proper divisors (135028544).

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

72192816 is a wasteful number, since it uses less digits than its factorization.

72192816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167130 (or 167118 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72192816 is about 8496.6355694475. The cubic root of 72192816 is about 416.3877978967.

The spelling of 72192816 in words is "seventy-two million, one hundred ninety-two thousand, eight hundred sixteen".