25377672 has 64 divisors (see below), whose sum is σ = 65784960. Its totient is φ = 8153600.

The previous prime is 25377641. The next prime is 25377679. The reversal of 25377672 is 27677352.

It is a super-2 number, since 2×25377672² = 1288052472279168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25377672.

It is not an unprimeable number, because it can be changed into a prime (25377679) 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, 90172 + ... + 90452.

It is an arithmetic number, because the mean of its divisors is an integer number (1027890).

Almost surely, 2^25377672 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 25377672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32892480).

25377672 is an abundant number, since it is smaller than the sum of its proper divisors (40407288).

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

25377672 is a wasteful number, since it uses less digits than its factorization.

25377672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its digits is 123480, while the sum is 39.

The square root of 25377672 is about 5037.6256311878. The cubic root of 25377672 is about 293.8668470111.

The spelling of 25377672 in words is "twenty-five million, three hundred seventy-seven thousand, six hundred seventy-two".