76132872 has 48 divisors (see below), whose sum is σ = 213835440. Its totient is φ = 25376976.

The previous prime is 76132871. The next prime is 76132879. The reversal of 76132872 is 27823167.

It is a super-3 number, since 3×76132872³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76132871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17638 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (4454905).

Almost surely, 2^76132872 is an apocalyptic number.

76132872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76132872 is an abundant number, since it is smaller than the sum of its proper divisors (137702568).

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

76132872 is a wasteful number, since it uses less digits than its factorization.

76132872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39184 (or 39168 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 76132872 is about 8725.4152909761. The cubic root of 76132872 is about 423.8290666152.

It can be divided in two parts, 761 and 32872, that added together give a palindrome (33633).

The spelling of 76132872 in words is "seventy-six million, one hundred thirty-two thousand, eight hundred seventy-two".