25272624 has 80 divisors (see below), whose sum is σ = 71182944. Its totient is φ = 7680000.

The previous prime is 25272617. The next prime is 25272629. The reversal of 25272624 is 42627252.

It is a junction number, because it is equal to n+sod(n) for n = 25272591 and 25272600.

It is not an unprimeable number, because it can be changed into a prime (25272629) 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, 62824 + ... + 63224.

Almost surely, 2^25272624 is an apocalyptic number.

25272624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25272624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35591472).

25272624 is an abundant number, since it is smaller than the sum of its proper divisors (45910320).

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

25272624 is a wasteful number, since it uses less digits than its factorization.

25272624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 25272624 is about 5027.1884786628. The cubic root of 25272624 is about 293.4608100661.

Adding to 25272624 its reverse (42627252), we get a palindrome (67899876).

It can be divided in two parts, 2527 and 2624, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 25272624 in words is "twenty-five million, two hundred seventy-two thousand, six hundred twenty-four".