76181152 has 48 divisors (see below), whose sum is σ = 158397120. Its totient is φ = 35994112.

The previous prime is 76181101. The next prime is 76181177. The reversal of 76181152 is 25118167.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64923 + ... + 66085.

It is an arithmetic number, because the mean of its divisors is an integer number (3299940).

Almost surely, 2^76181152 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 76181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79198560).

76181152 is an abundant number, since it is smaller than the sum of its proper divisors (82215968).

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

76181152 is a wasteful number, since it uses less digits than its factorization.

76181152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its digits is 3360, while the sum is 31.

The square root of 76181152 is about 8728.1814829895. The cubic root of 76181152 is about 423.9186387140.

The spelling of 76181152 in words is "seventy-six million, one hundred eighty-one thousand, one hundred fifty-two".