772711272 has 64 divisors (see below), whose sum is σ = 2152065600. Its totient is φ = 256893120.

The previous prime is 772711249. The next prime is 772711337. The reversal of 772711272 is 272117277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81247 + ... + 90257.

It is an arithmetic number, because the mean of its divisors is an integer number (33626025).

Almost surely, 2^772711272 is an apocalyptic number.

772711272 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 772711272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076032800).

772711272 is an abundant number, since it is smaller than the sum of its proper divisors (1379354328).

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

772711272 is a wasteful number, since it uses less digits than its factorization.

772711272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9413 counting only the distinct ones).

The product of its digits is 19208, while the sum is 36.

The square root of 772711272 is about 27797.6846517835. The cubic root of 772711272 is about 917.6401682566.

The spelling of 772711272 in words is "seven hundred seventy-two million, seven hundred eleven thousand, two hundred seventy-two".