76995072 has 360 divisors, whose sum is σ = 291088512. Its totient is φ = 19353600.

The previous prime is 76995031. The next prime is 76995073. The reversal of 76995072 is 27059967.

It is a super-2 number, since 2×76995072² = 11856482224570368, which contains 22 as substring.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76995073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483697 + ... + 2483727.

Almost surely, 2^76995072 is an apocalyptic number.

76995072 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 76995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

76995072 is an abundant number, since it is smaller than the sum of its proper divisors (214093440).

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

76995072 is a wasteful number, since it uses less digits than its factorization.

76995072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 76995072 is about 8774.6835840388. The cubic root of 76995072 is about 425.4230104334.

The spelling of 76995072 in words is "seventy-six million, nine hundred ninety-five thousand, seventy-two".