76051272 has 64 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 22939200.

The previous prime is 76051247. The next prime is 76051273. The reversal of 76051272 is 27215067.

It is not an unprimeable number, because it can be changed into a prime (76051273) 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, 71013 + ... + 72075.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2^76051272 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 76051272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

76051272 is an abundant number, since it is smaller than the sum of its proper divisors (132322488).

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

76051272 is a wasteful number, since it uses less digits than its factorization.

76051272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 76051272 is about 8720.7380421613. The cubic root of 76051272 is about 423.6775910248.

The spelling of 76051272 in words is "seventy-six million, fifty-one thousand, two hundred seventy-two".