76131072 has 108 divisors (see below), whose sum is σ = 221929344. Its totient is φ = 25098240.

The previous prime is 76131059. The next prime is 76131109. The reversal of 76131072 is 27013167.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398497 + ... + 398687.

Almost surely, 2^76131072 is an apocalyptic number.

76131072 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 76131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110964672).

76131072 is an abundant number, since it is smaller than the sum of its proper divisors (145798272).

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

76131072 is a wasteful number, since it uses less digits than its factorization.

76131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 76131072 is about 8725.3121434136. The cubic root of 76131072 is about 423.8257264096.

The spelling of 76131072 in words is "seventy-six million, one hundred thirty-one thousand, seventy-two".