76721288 has 64 divisors (see below), whose sum is σ = 170142720. Its totient is φ = 31752000.

The previous prime is 76721287. The next prime is 76721339. The reversal of 76721288 is 88212767.

It is not an unprimeable number, because it can be changed into a prime (76721287) 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, 363503 + ... + 363713.

It is an arithmetic number, because the mean of its divisors is an integer number (2658480).

Almost surely, 2^76721288 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 76721288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85071360).

76721288 is an abundant number, since it is smaller than the sum of its proper divisors (93421432).

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

76721288 is a wasteful number, since it uses less digits than its factorization.

76721288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its digits is 75264, while the sum is 41.

The square root of 76721288 is about 8759.0689002884. The cubic root of 76721288 is about 424.9181627893.

The spelling of 76721288 in words is "seventy-six million, seven hundred twenty-one thousand, two hundred eighty-eight".