72776192 has 40 divisors (see below), whose sum is σ = 146198976. Its totient is φ = 36191232.

The previous prime is 72776191. The next prime is 72776203. The reversal of 72776192 is 29167727.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72776191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156953 + ... + 157415.

Almost surely, 2^72776192 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 72776192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73099488).

72776192 is an abundant number, since it is smaller than the sum of its proper divisors (73422784).

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

72776192 is an equidigital number, since it uses as much as digits as its factorization.

72776192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its digits is 74088, while the sum is 41.

The square root of 72776192 is about 8530.8963186760. The cubic root of 72776192 is about 417.5063730247.

The spelling of 72776192 in words is "seventy-two million, seven hundred seventy-six thousand, one hundred ninety-two".