772029072 has 60 divisors (see below), whose sum is σ = 2164492044. Its totient is φ = 256880640.

The previous prime is 772029031. The next prime is 772029073. The reversal of 772029072 is 270920277.

It can be written as a sum of positive squares in 2 ways, for example, as 667498896 + 104530176 = 25836^2 + 10224^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (772029073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80872 + ... + 89912.

Almost surely, 2^772029072 is an apocalyptic number.

772029072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

772029072 is an abundant number, since it is smaller than the sum of its proper divisors (1392462972).

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

772029072 is a wasteful number, since it uses less digits than its factorization.

772029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 772029072 is about 27785.4111360620. The cubic root of 772029072 is about 917.3700378450.

The spelling of 772029072 in words is "seven hundred seventy-two million, twenty-nine thousand, seventy-two".