772672 has 14 divisors (see below), whose sum is σ = 1533398. Its totient is φ = 386304.

The previous prime is 772669. The next prime is 772691. The reversal of 772672 is 276277.

It can be written as a sum of positive squares in only one way, i.e., 440896 + 331776 = 664^2 + 576^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5973 + ... + 6100.

2⁷⁷²⁶⁷² is an apocalyptic number.

It is an amenable number.

772672 is a deficient number, since it is larger than the sum of its proper divisors (760726).

772672 is a wasteful number, since it uses less digits than its factorization.

772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12075 counting only the distinct ones).

The product of its digits is 8232, while the sum is 31.

The square root of 772672 is about 879.0176334978. The cubic root of 772672 is about 91.7624622055.

Subtracting from 772672 its sum of digits (31), we obtain a square (772641 = 879²).

It can be divided in two parts, 772 and 672, that added together give a square (1444 = 38²).

The spelling of 772672 in words is "seven hundred seventy-two thousand, six hundred seventy-two".