772125 has 32 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 392000.

The previous prime is 772097. The next prime is 772127. The reversal of 772125 is 521277.

772125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 772125 - 2⁶ = 772061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 772095 and 772104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10840 + ... + 10910.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁷⁷²¹²⁵ is an apocalyptic number.

772125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

772125 is a deficient number, since it is larger than the sum of its proper divisors (575715).

772125 is a wasteful number, since it uses less digits than its factorization.

772125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 772125 is about 878.7064356200. The cubic root of 772125 is about 91.7408032022.

The spelling of 772125 in words is "seven hundred seventy-two thousand, one hundred twenty-five".