76131744 has 96 divisors (see below), whose sum is σ = 219469824. Its totient is φ = 22963200.

The previous prime is 76131739. The next prime is 76131749. The reversal of 76131744 is 44713167.

It is an interprime number because it is at equal distance from previous prime (76131739) and next prime (76131749).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) 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 (76131749) 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 15 ways as a sum of consecutive naturals, for example, 65569 + ... + 66719.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2^76131744 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 76131744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912).

76131744 is an abundant number, since it is smaller than the sum of its proper divisors (143338080).

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

76131744 is a wasteful number, since it uses less digits than its factorization.

76131744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 76131744 is about 8725.3506519796. The cubic root of 76131744 is about 423.8269734258.

The spelling of 76131744 in words is "seventy-six million, one hundred thirty-one thousand, seven hundred forty-four".