72777768 has 32 divisors (see below), whose sum is σ = 207936960. Its totient is φ = 20793600.

The previous prime is 72777737. The next prime is 72777781. The reversal of 72777768 is 86777727.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72777768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216433 + ... + 216768.

It is an arithmetic number, because the mean of its divisors is an integer number (6498030).

Almost surely, 2^72777768 is an apocalyptic number.

It is an amenable number.

72777768 is an abundant number, since it is smaller than the sum of its proper divisors (135159192).

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

72777768 is a wasteful number, since it uses less digits than its factorization.

72777768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433217 (or 433213 counting only the distinct ones).

The product of its digits is 1613472, while the sum is 51.

The square root of 72777768 is about 8530.9886883057. The cubic root of 72777768 is about 417.5093867635.

The spelling of 72777768 in words is "seventy-two million, seven hundred seventy-seven thousand, seven hundred sixty-eight".