76972032 has 160 divisors (see below), whose sum is σ = 237892050. Its totient is φ = 24772608.

The previous prime is 76972001. The next prime is 76972043. The reversal of 76972032 is 23027967.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 11943936 = 8064^2 + 3456^2 .

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654194 + ... + 2654222.

Almost surely, 2^76972032 is an apocalyptic number.

76972032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118946025).

76972032 is an abundant number, since it is smaller than the sum of its proper divisors (160920018).

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

76972032 is an frugal number, since it uses more digits than its factorization.

76972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76972032 is about 8773.3706179552. The cubic root of 76972032 is about 425.3805716826.

Adding to 76972032 its reverse (23027967), we get a palindrome (99999999).

The spelling of 76972032 in words is "seventy-six million, nine hundred seventy-two thousand, thirty-two".