77732136 has 80 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 25694496.

The previous prime is 77732131. The next prime is 77732191. The reversal of 77732136 is 63123777.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77732136.

It is not an unprimeable number, because it can be changed into a prime (77732131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89641 + ... + 90503.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^77732136 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 77732136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

77732136 is an abundant number, since it is smaller than the sum of its proper divisors (141810264).

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

77732136 is a wasteful number, since it uses less digits than its factorization.

77732136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 77732136 is about 8816.5830115754. The cubic root of 77732136 is about 426.7762083107.

The spelling of 77732136 in words is "seventy-seven million, seven hundred thirty-two thousand, one hundred thirty-six".