25632072 has 64 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 8379072.

The previous prime is 25632067. The next prime is 25632077. The reversal of 25632072 is 27023652.

25632072 is a `hidden beast` number, since 25 + 632 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25632067) and next prime (25632077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25632077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10329 + ... + 12567.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^25632072 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 25632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

25632072 is an abundant number, since it is smaller than the sum of its proper divisors (46943928).

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

25632072 is a wasteful number, since it uses less digits than its factorization.

25632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 25632072 is about 5062.8126570119. The cubic root of 25632072 is about 294.8455458817.

The spelling of 25632072 in words is "twenty-five million, six hundred thirty-two thousand, seventy-two".