76129056 has 72 divisors (see below), whose sum is σ = 223501824. Its totient is φ = 24554880.

The previous prime is 76129033. The next prime is 76129063. The reversal of 76129056 is 65092167.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×76129056² = 11591266334902272, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 76129056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4665 + ... + 13191.

It is an arithmetic number, because the mean of its divisors is an integer number (3104192).

Almost surely, 2^76129056 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 76129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111750912).

76129056 is an abundant number, since it is smaller than the sum of its proper divisors (147372768).

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

76129056 is a wasteful number, since it uses less digits than its factorization.

76129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 76129056 is about 8725.1966166958. The cubic root of 76129056 is about 423.8219853168.

The spelling of 76129056 in words is "seventy-six million, one hundred twenty-nine thousand, fifty-six".