25287120 has 160 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 6437376.

The previous prime is 25287113. The next prime is 25287131. The reversal of 25287120 is 2178252.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49426 + ... + 49934.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^25287120 is an apocalyptic number.

25287120 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 25287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

25287120 is an abundant number, since it is smaller than the sum of its proper divisors (65778480).

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

25287120 is a wasteful number, since it uses less digits than its factorization.

25287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 25287120 is about 5028.6300321260. The cubic root of 25287120 is about 293.5169075891.

The spelling of 25287120 in words is "twenty-five million, two hundred eighty-seven thousand, one hundred twenty".