76472132832 has 192 divisors, whose sum is σ = 228662784000. Its totient is φ = 24852718080.

The previous prime is 76472132827. The next prime is 76472132833. The reversal of 76472132832 is 23823127467.

76472132832 is a `hidden beast` number, since 76 + 472 + 1 + 32 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76472132833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11001294 + ... + 11008242.

It is an arithmetic number, because the mean of its divisors is an integer number (1190952000).

Almost surely, 2^76472132832 is an apocalyptic number.

76472132832 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 76472132832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114331392000).

76472132832 is an abundant number, since it is smaller than the sum of its proper divisors (152190651168).

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

76472132832 is a wasteful number, since it uses less digits than its factorization.

76472132832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7272 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 76472132832 in words is "seventy-six billion, four hundred seventy-two million, one hundred thirty-two thousand, eight hundred thirty-two".