76585272 has 64 divisors (see below), whose sum is σ = 203692320. Its totient is φ = 23912448.

The previous prime is 76585261. The next prime is 76585273. The reversal of 76585272 is 27258567.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76585273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137218 + ... + 137774.

Almost surely, 2^76585272 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 76585272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101846160).

76585272 is an abundant number, since it is smaller than the sum of its proper divisors (127107048).

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

76585272 is a wasteful number, since it uses less digits than its factorization.

76585272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 76585272 is about 8751.3011603989. The cubic root of 76585272 is about 424.6669076356. Note that the first 3 decimals are identical.

The spelling of 76585272 in words is "seventy-six million, five hundred eighty-five thousand, two hundred seventy-two".