25742720 has 128 divisors (see below), whose sum is σ = 67932000. Its totient is φ = 9289728.

The previous prime is 25742719. The next prime is 25742729. The reversal of 25742720 is 2724752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25742729) 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, 352604 + ... + 352676.

Almost surely, 2^25742720 is an apocalyptic number.

25742720 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 25742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966000).

25742720 is an abundant number, since it is smaller than the sum of its proper divisors (42189280).

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

25742720 is a wasteful number, since it uses less digits than its factorization.

25742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 25742720 is about 5073.7284121246. The cubic root of 25742720 is about 295.2691979191.

It can be divided in two parts, 25742 and 720, that added together give a palindrome (26462).

The spelling of 25742720 in words is "twenty-five million, seven hundred forty-two thousand, seven hundred twenty".