76129032 has 64 divisors (see below), whose sum is σ = 218465280. Its totient is φ = 21655872.

The previous prime is 76129021. The next prime is 76129033. The reversal of 76129032 is 23092167.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (76129033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43323 + ... + 45045.

It is an arithmetic number, because the mean of its divisors is an integer number (3413520).

Almost surely, 2^76129032 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 76129032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109232640).

76129032 is an abundant number, since it is smaller than the sum of its proper divisors (142336248).

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

76129032 is a wasteful number, since it uses less digits than its factorization.

76129032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 76129032 is about 8725.1952413685. The cubic root of 76129032 is about 423.8219407796.

The spelling of 76129032 in words is "seventy-six million, one hundred twenty-nine thousand, thirty-two".