76072960 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 25952256.

The previous prime is 76072957. The next prime is 76072963. The reversal of 76072960 is 6927067.

It is an interprime number because it is at equal distance from previous prime (76072957) and next prime (76072963).

It is not an unprimeable number, because it can be changed into a prime (76072963) 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, 3307509 + ... + 3307531.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^76072960 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 76072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

76072960 is an abundant number, since it is smaller than the sum of its proper divisors (136211840).

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

76072960 is a wasteful number, since it uses less digits than its factorization.

76072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 76072960 is about 8721.9814262586. The cubic root of 76072960 is about 423.7178614285.

The spelling of 76072960 in words is "seventy-six million, seventy-two thousand, nine hundred sixty".