25738752 has 80 divisors (see below), whose sum is σ = 73901520. Its totient is φ = 7913472.

The previous prime is 25738733. The next prime is 25738759. The reversal of 25738752 is 25783752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 25738752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25738759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19324 + ... + 20612.

It is an arithmetic number, because the mean of its divisors is an integer number (923769).

Almost surely, 2^25738752 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 25738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36950760).

25738752 is an abundant number, since it is smaller than the sum of its proper divisors (48162768).

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

25738752 is a wasteful number, since it uses less digits than its factorization.

25738752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 25738752 is about 5073.3373631171. The cubic root of 25738752 is about 295.2540261427.

It can be divided in two parts, 2573 and 8752, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 25738752 in words is "twenty-five million, seven hundred thirty-eight thousand, seven hundred fifty-two".