76717872 has 360 divisors, whose sum is σ = 293293728. Its totient is φ = 18247680.

The previous prime is 76717831. The next prime is 76717873. The reversal of 76717872 is 27871767.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76717873) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2073438 + ... + 2073474.

Almost surely, 2^76717872 is an apocalyptic number.

76717872 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 76717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

76717872 is an abundant number, since it is smaller than the sum of its proper divisors (216575856).

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

76717872 is a wasteful number, since it uses less digits than its factorization.

76717872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 76717872 is about 8758.8739002226. The cubic root of 76717872 is about 424.9118562303.

The spelling of 76717872 in words is "seventy-six million, seven hundred seventeen thousand, eight hundred seventy-two".