25742772 has 120 divisors (see below), whose sum is σ = 76108032. Its totient is φ = 7516800.

The previous prime is 25742771. The next prime is 25742797. The reversal of 25742772 is 27724752.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (54880) is a multiple of the sum of its prime divisors (280).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25742771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110368 + ... + 110600.

Almost surely, 2^25742772 is an apocalyptic number.

25742772 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 25742772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38054016).

25742772 is an abundant number, since it is smaller than the sum of its proper divisors (50365260).

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

25742772 is a wasteful number, since it uses less digits than its factorization.

25742772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 25742772 is about 5073.7335365587. The cubic root of 25742772 is about 295.2693967325.

The spelling of 25742772 in words is "twenty-five million, seven hundred forty-two thousand, seven hundred seventy-two".