25747120 has 80 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 8439552.

The previous prime is 25747103. The next prime is 25747123. The reversal of 25747120 is 2174752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (25747123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11881 + ... + 13879.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^25747120 is an apocalyptic number.

25747120 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 25747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

25747120 is an abundant number, since it is smaller than the sum of its proper divisors (45676880).

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

25747120 is a wasteful number, since it uses less digits than its factorization.

25747120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 25747120 is about 5074.1619997789. The cubic root of 25747120 is about 295.2860196388.

The spelling of 25747120 in words is "twenty-five million, seven hundred forty-seven thousand, one hundred twenty".