25766752 has 48 divisors (see below), whose sum is σ = 56173824. Its totient is φ = 11536000.

The previous prime is 25766743. The next prime is 25766759.

25766752 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25766759) 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, 24477 + ... + 25507.

It is an arithmetic number, because the mean of its divisors is an integer number (1170288).

Almost surely, 2^25766752 is an apocalyptic number.

25766752 is a gapful number since it is divisible by the number (22) 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 25766752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086912).

25766752 is an abundant number, since it is smaller than the sum of its proper divisors (30407072).

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

25766752 is a wasteful number, since it uses less digits than its factorization.

25766752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 25766752 is about 5076.0961377815. The cubic root of 25766752 is about 295.3610517506.

The spelling of 25766752 in words is "twenty-five million, seven hundred sixty-six thousand, seven hundred fifty-two".