25272564 has 48 divisors (see below), whose sum is σ = 62393856. Its totient is φ = 7948800.

The previous prime is 25272553. The next prime is 25272571. The reversal of 25272564 is 46527252.

It is a super-2 number, since 2×25272564² = 1277404982268192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14424 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (1299872).

Almost surely, 2^25272564 is an apocalyptic number.

It is an amenable number.

25272564 is an abundant number, since it is smaller than the sum of its proper divisors (37121292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25272564 is a wasteful number, since it uses less digits than its factorization.

25272564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1734 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 25272564 is about 5027.1825111090. The cubic root of 25272564 is about 293.4605778298.

It can be divided in two parts, 252 and 72564, that multiplied together give a triangular number (18286128 = T₆₀₄₇).

The spelling of 25272564 in words is "twenty-five million, two hundred seventy-two thousand, five hundred sixty-four".