76131288 has 96 divisors (see below), whose sum is σ = 222243840. Its totient is φ = 23474880.

The previous prime is 76131283. The next prime is 76131313. The reversal of 76131288 is 88213167.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76131281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50595 + ... + 52077.

It is an arithmetic number, because the mean of its divisors is an integer number (2315040).

Almost surely, 2^76131288 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 76131288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111121920).

76131288 is an abundant number, since it is smaller than the sum of its proper divisors (146112552).

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

76131288 is a wasteful number, since it uses less digits than its factorization.

76131288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1542 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 76131288 is about 8725.3245211854. The cubic root of 76131288 is about 423.8261272370.

The spelling of 76131288 in words is "seventy-six million, one hundred thirty-one thousand, two hundred eighty-eight".