25743072 has 96 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 8053760.

The previous prime is 25743071. The next prime is 25743073. The reversal of 25743072 is 27034752.

It is an interprime number because it is at equal distance from previous prime (25743071) and next prime (25743073).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25743071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196447 + ... + 196577.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^25743072 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 25743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

25743072 is an abundant number, since it is smaller than the sum of its proper divisors (46107168).

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

25743072 is a wasteful number, since it uses less digits than its factorization.

25743072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 25743072 is about 5073.7631005005. The cubic root of 25743072 is about 295.2705437272.

The spelling of 25743072 in words is "twenty-five million, seven hundred forty-three thousand, seventy-two".