76758272 has 36 divisors (see below), whose sum is σ = 153790560. Its totient is φ = 38235648.

The previous prime is 76758229. The next prime is 76758277. The reversal of 76758272 is 27285767.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76758277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112043 + ... + 112725.

It is an arithmetic number, because the mean of its divisors is an integer number (4271960).

Almost surely, 2^76758272 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 76758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76895280).

76758272 is an abundant number, since it is smaller than the sum of its proper divisors (77032288).

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

76758272 is an equidigital number, since it uses as much as digits as its factorization.

76758272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 329280, while the sum is 44.

The square root of 76758272 is about 8761.1798292239. The cubic root of 76758272 is about 424.9864300166.

The spelling of 76758272 in words is "seventy-six million, seven hundred fifty-eight thousand, two hundred seventy-two".