772525 has 12 divisors (see below), whose sum is σ = 1032052. Its totient is φ = 570240.

The previous prime is 772517. The next prime is 772537. The reversal of 772525 is 525277.

772525 = 621² + 622².

It can be written as a sum of positive squares in 6 ways, for example, as 111556 + 660969 = 334^2 + 813^2 .

It is not a de Polignac number, because 772525 - 2³ = 772517 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772493 and 772502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 1513.

2⁷⁷²⁵²⁵ is an apocalyptic number.

772525 is the 622-nd centered square number.

It is an amenable number.

772525 is a deficient number, since it is larger than the sum of its proper divisors (259527).

772525 is a wasteful number, since it uses less digits than its factorization.

772525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2395 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 772525 is about 878.9340134504. The cubic root of 772525 is about 91.7566426005.

It can be divided in two parts, 7725 and 25, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 772525 in words is "seven hundred seventy-two thousand, five hundred twenty-five".