76525272 has 48 divisors (see below), whose sum is σ = 208367640. Its totient is φ = 25371648.

The previous prime is 76525261. The next prime is 76525277. The reversal of 76525272 is 27252567.

It is a super-3 number, since 3×76525272³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 (76525277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11143 + ... + 16649.

Almost surely, 2^76525272 is an apocalyptic number.

76525272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76525272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104183820).

76525272 is an abundant number, since it is smaller than the sum of its proper divisors (131842368).

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

76525272 is a wasteful number, since it uses less digits than its factorization.

76525272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5705 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 76525272 is about 8747.8724270533. The cubic root of 76525272 is about 424.5559782505. Note that the first 3 decimals are identical.

The spelling of 76525272 in words is "seventy-six million, five hundred twenty-five thousand, two hundred seventy-two".