76238136 has 96 divisors (see below), whose sum is σ = 227223360. Its totient is φ = 22945536.

The previous prime is 76238059. The next prime is 76238137. The reversal of 76238136 is 63183267.

It is a happy number.

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 76238136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76238137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43126 + ... + 44858.

It is an arithmetic number, because the mean of its divisors is an integer number (2366910).

Almost surely, 2^76238136 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 76238136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113611680).

76238136 is an abundant number, since it is smaller than the sum of its proper divisors (150985224).

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

76238136 is a wasteful number, since it uses less digits than its factorization.

76238136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1798 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76238136 is about 8731.4452411958. The cubic root of 76238136 is about 424.0243103422.

The spelling of 76238136 in words is "seventy-six million, two hundred thirty-eight thousand, one hundred thirty-six".