25165728 has 240 divisors, whose sum is σ = 90256320. Its totient is φ = 6718464.

The previous prime is 25165663. The next prime is 25165741. The reversal of 25165728 is 82756152.

It is a happy number.

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

It is a zygodrome in base 4 and base 6.

It is a junction number, because it is equal to n+sod(n) for n = 25165692 and 25165701.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344700 + ... + 344772.

It is an arithmetic number, because the mean of its divisors is an integer number (376068).

Almost surely, 2^25165728 is an apocalyptic number.

25165728 is a gapful number since it is divisible by the number (28) 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 25165728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45128160).

25165728 is an abundant number, since it is smaller than the sum of its proper divisors (65090592).

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

25165728 is a wasteful number, since it uses less digits than its factorization.

25165728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 25165728 is about 5016.5454248915. The cubic root of 25165728 is about 293.0464734648.

The spelling of 25165728 in words is "twenty-five million, one hundred sixty-five thousand, seven hundred twenty-eight".