72456777 has 12 divisors (see below), whose sum is σ = 106635204. Its totient is φ = 47392800.

The previous prime is 72456731. The next prime is 72456793. The reversal of 72456777 is 77765427.

It can be written as a sum of positive squares in 2 ways, for example, as 22838841 + 49617936 = 4779^2 + 7044^2 .

It is not a de Polignac number, because 72456777 - 2⁷ = 72456649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72456577) 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, 75474 + ... + 76427.

It is an arithmetic number, because the mean of its divisors is an integer number (8886267).

Almost surely, 2^72456777 is an apocalyptic number.

It is an amenable number.

72456777 is a deficient number, since it is larger than the sum of its proper divisors (34178427).

72456777 is a wasteful number, since it uses less digits than its factorization.

72456777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151960 (or 151957 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 72456777 is about 8512.1546625987. The cubic root of 72456777 is about 416.8946648354.

The spelling of 72456777 in words is "seventy-two million, four hundred fifty-six thousand, seven hundred seventy-seven".