76541136 has 80 divisors (see below), whose sum is σ = 230640000. Its totient is φ = 21864192.

The previous prime is 76541119. The next prime is 76541141. The reversal of 76541136 is 63114567.

It is a junction number, because it is equal to n+sod(n) for n = 76541097 and 76541106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14140 + ... + 18788.

It is an arithmetic number, because the mean of its divisors is an integer number (2883000).

Almost surely, 2^76541136 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 76541136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320000).

76541136 is an abundant number, since it is smaller than the sum of its proper divisors (154098864).

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

76541136 is a wasteful number, since it uses less digits than its factorization.

76541136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4661 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 76541136 is about 8748.7791148251. The cubic root of 76541136 is about 424.5853136170.

The spelling of 76541136 in words is "seventy-six million, five hundred forty-one thousand, one hundred thirty-six".