25749216 has 72 divisors (see below), whose sum is σ = 75773880. Its totient is φ = 8284416.

The previous prime is 25749209. The next prime is 25749247. The reversal of 25749216 is 61294752.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×25749216² = 1326044249229312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6811 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (1052415).

Almost surely, 2^25749216 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 25749216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37886940).

25749216 is an abundant number, since it is smaller than the sum of its proper divisors (50024664).

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

25749216 is a wasteful number, since it uses less digits than its factorization.

25749216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3117 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 25749216 is about 5074.3685321427. The cubic root of 25749216 is about 295.2940322204.

The spelling of 25749216 in words is "twenty-five million, seven hundred forty-nine thousand, two hundred sixteen".