72627777 has 6 divisors (see below), whose sum is σ = 104906802. Its totient is φ = 48418512.

The previous prime is 72627733. The next prime is 72627809. The reversal of 72627777 is 77772627.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 1461681 = 8436^2 + 1209^2 .

It is not a de Polignac number, because 72627777 - 2⁸ = 72627521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72627727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4034868 + ... + 4034885.

It is an arithmetic number, because the mean of its divisors is an integer number (17484467).

Almost surely, 2^72627777 is an apocalyptic number.

It is an amenable number.

72627777 is a deficient number, since it is larger than the sum of its proper divisors (32279025).

72627777 is a wasteful number, since it uses less digits than its factorization.

72627777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8069759 (or 8069756 counting only the distinct ones).

The product of its digits is 403368, while the sum is 45.

The square root of 72627777 is about 8522.1932036302. The cubic root of 72627777 is about 417.2223681583. Note that the first 3 decimals are identical.

It can be divided in two parts, 726 and 27777, that multiplied together give a palindrome (20166102).

The spelling of 72627777 in words is "seventy-two million, six hundred twenty-seven thousand, seven hundred seventy-seven".