77136 has 20 divisors (see below), whose sum is σ = 199392. Its totient is φ = 25696.

The previous prime is 77101. The next prime is 77137. The reversal of 77136 is 63177.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77137) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 756 + ... + 851.

2⁷⁷¹³⁶ is an apocalyptic number.

It is an amenable number.

77136 is an abundant number, since it is smaller than the sum of its proper divisors (122256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99696).

77136 is a wasteful number, since it uses less digits than its factorization.

77136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1612 counting only the distinct ones).

The product of its digits is 882, while the sum is 24.

The square root of 77136 is about 277.7336853894. The cubic root of 77136 is about 42.5682410031.

The spelling of 77136 in words is "seventy-seven thousand, one hundred thirty-six".