76162872 has 64 divisors (see below), whose sum is σ = 196992000. Its totient is φ = 24520320.

The previous prime is 76162859. The next prime is 76162883. The reversal of 76162872 is 27826167.

Its product of digits (56448) is a multiple of the sum of its prime divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 76162872.

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, 176497 + ... + 176927.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2^76162872 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 76162872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

76162872 is an abundant number, since it is smaller than the sum of its proper divisors (120829128).

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

76162872 is a wasteful number, since it uses less digits than its factorization.

76162872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 76162872 is about 8727.1342375375. The cubic root of 76162872 is about 423.8847289589.

The spelling of 76162872 in words is "seventy-six million, one hundred sixty-two thousand, eight hundred seventy-two".