772918272 has 132 divisors (see below), whose sum is σ = 2550824016. Its totient is φ = 220815360.

The previous prime is 772918259. The next prime is 772918273. The reversal of 772918272 is 272819277.

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 (772918273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58522 + ... + 70502.

Almost surely, 2^772918272 is an apocalyptic number.

772918272 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 772918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275412008).

772918272 is an abundant number, since it is smaller than the sum of its proper divisors (1777905744).

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

772918272 is a wasteful number, since it uses less digits than its factorization.

772918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12014 (or 11993 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 772918272 is about 27801.4077341418. The cubic root of 772918272 is about 917.7221025066.

The spelling of 772918272 in words is "seven hundred seventy-two million, nine hundred eighteen thousand, two hundred seventy-two".