25672500 has 180 divisors, whose sum is σ = 93245152. Its totient is φ = 5832000.

The previous prime is 25672469. The next prime is 25672523. The reversal of 25672500 is 527652.

It is a tau number, because it is divible by the number of its divisors (180).

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157419 + ... + 157581.

Almost surely, 2^25672500 is an apocalyptic number.

25672500 is a gapful number since it is divisible by the number (20) 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 25672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46622576).

25672500 is an abundant number, since it is smaller than the sum of its proper divisors (67572652).

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

25672500 is a wasteful number, since it uses less digits than its factorization.

25672500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 25672500 is about 5066.8037262164. The cubic root of 25672500 is about 295.0004787888. Note that the first 3 decimals are identical.

The spelling of 25672500 in words is "twenty-five million, six hundred seventy-two thousand, five hundred".