772565 has 16 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 568320.

The previous prime is 772537. The next prime is 772567. The reversal of 772565 is 565277.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 142129 + 630436 = 377^2 + 794^2 .

It is not a de Polignac number, because 772565 - 2¹⁶ = 707029 is a prime.

It is a super-3 number, since 3×772565³ = 1383331741156386375, which contains 333 as substring.

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 772565.

It is not an unprimeable number, because it can be changed into a prime (772567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5111 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2⁷⁷²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

772565 is a deficient number, since it is larger than the sum of its proper divisors (231835).

772565 is a wasteful number, since it uses less digits than its factorization.

772565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its digits is 14700, while the sum is 32.

The square root of 772565 is about 878.9567679926. The cubic root of 772565 is about 91.7582262396.

The spelling of 772565 in words is "seven hundred seventy-two thousand, five hundred sixty-five".