77152 has 12 divisors (see below), whose sum is σ = 151956. Its totient is φ = 38560.

The previous prime is 77141. The next prime is 77153. The reversal of 77152 is 25177.

It is a super-2 number, since 2×77152² = 11904862208, which contains 22 as substring.

It is a magnanimous number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77153) by changing a digit.

77152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1174 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (12663).

2⁷⁷¹⁵² is an apocalyptic number.

It is an amenable number.

77152 is a deficient number, since it is larger than the sum of its proper divisors (74804).

77152 is a wasteful number, since it uses less digits than its factorization.

77152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2413 counting only the distinct ones).

The product of its digits is 490, while the sum is 22.

The square root of 77152 is about 277.7624884681. The cubic root of 77152 is about 42.5711840508.

The spelling of 77152 in words is "seventy-seven thousand, one hundred fifty-two".