25435872 has 288 divisors, whose sum is σ = 95606784. Its totient is φ = 6220800.

The previous prime is 25435853. The next prime is 25435873. The reversal of 25435872 is 27853452.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25435873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687438 + ... + 687474.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 2^25435872 is an apocalyptic number.

25435872 is a gapful number since it is divisible by the number (22) 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 25435872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47803392).

25435872 is an abundant number, since it is smaller than the sum of its proper divisors (70170912).

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

25435872 is a wasteful number, since it uses less digits than its factorization.

25435872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 25435872 is about 5043.3988539476. The cubic root of 25435872 is about 294.0913224565.

The spelling of 25435872 in words is "twenty-five million, four hundred thirty-five thousand, eight hundred seventy-two".