76132320 has 96 divisors (see below), whose sum is σ = 261636480. Its totient is φ = 18455040.

The previous prime is 76132313. The next prime is 76132333. The reversal of 76132320 is 2323167.

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

It is a super-2 number, since 2×76132320² = 11592260297164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 12489.

It is an arithmetic number, because the mean of its divisors is an integer number (2725380).

Almost surely, 2^76132320 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 76132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130818240).

76132320 is an abundant number, since it is smaller than the sum of its proper divisors (185504160).

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

76132320 is a wasteful number, since it uses less digits than its factorization.

76132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14448 (or 14440 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 76132320 is about 8725.3836591866. The cubic root of 76132320 is about 423.8280422910.

Adding to 76132320 its reverse (2323167), we get a palindrome (78455487).

The spelling of 76132320 in words is "seventy-six million, one hundred thirty-two thousand, three hundred twenty".