76719132 has 72 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 21776544.

The previous prime is 76719127. The next prime is 76719163. The reversal of 76719132 is 23191767.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41173 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2^76719132 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 76719132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

76719132 is an abundant number, since it is smaller than the sum of its proper divisors (146363364).

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

76719132 is a wasteful number, since it uses less digits than its factorization.

76719132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2002 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 76719132 is about 8758.9458269817. The cubic root of 76719132 is about 424.9141824419.

The spelling of 76719132 in words is "seventy-six million, seven hundred nineteen thousand, one hundred thirty-two".