7772144 has 20 divisors (see below), whose sum is σ = 15140400. Its totient is φ = 3864960.

The previous prime is 7772143. The next prime is 7772173. The reversal of 7772144 is 4412777.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7772144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7772143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1964 + ... + 4404.

It is an arithmetic number, because the mean of its divisors is an integer number (757020).

Almost surely, 2^7772144 is an apocalyptic number.

It is an amenable number.

7772144 is a deficient number, since it is larger than the sum of its proper divisors (7368256).

7772144 is a wasteful number, since it uses less digits than its factorization.

7772144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2642 counting only the distinct ones).

The product of its digits is 10976, while the sum is 32.

The square root of 7772144 is about 2787.8565242853. The cubic root of 7772144 is about 198.0828820103.

The spelling of 7772144 in words is "seven million, seven hundred seventy-two thousand, one hundred forty-four".