772365 has 32 divisors (see below), whose sum is σ = 1400832. Its totient is φ = 360000.

The previous prime is 772349. The next prime is 772367. The reversal of 772365 is 563277.

772365 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 772365 - 2⁴ = 772349 is a prime.

772365 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772365.

It is not an unprimeable number, because it can be changed into a prime (772367) 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, 5040 + ... + 5190.

It is an arithmetic number, because the mean of its divisors is an integer number (43776).

2⁷⁷²³⁶⁵ is an apocalyptic number.

It is an amenable number.

772365 is a deficient number, since it is larger than the sum of its proper divisors (628467).

772365 is a wasteful number, since it uses less digits than its factorization.

772365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its digits is 8820, while the sum is 30.

The square root of 772365 is about 878.8429893900. The cubic root of 772365 is about 91.7503074975.

It can be divided in two parts, 77 and 2365, that added together give a palindrome (2442).

The spelling of 772365 in words is "seven hundred seventy-two thousand, three hundred sixty-five".