25533072 has 60 divisors (see below), whose sum is σ = 71858124. Its totient is φ = 8463360.

The previous prime is 25533023. The next prime is 25533073. The reversal of 25533072 is 27033552.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 23853456 = 1296^2 + 4884^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25533073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33172 + ... + 33932.

Almost surely, 2^25533072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25533072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35929062).

25533072 is an abundant number, since it is smaller than the sum of its proper divisors (46325052).

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

25533072 is a wasteful number, since it uses less digits than its factorization.

25533072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 25533072 is about 5053.0260240771. The cubic root of 25533072 is about 294.4654573456.

It can be divided in two parts, 2553 and 3072, that added together give a square (5625 = 75²).

The spelling of 25533072 in words is "twenty-five million, five hundred thirty-three thousand, seventy-two".