12574672 has 40 divisors (see below), whose sum is σ = 27310752. Its totient is φ = 5558400.

The previous prime is 12574669. The next prime is 12574673. The reversal of 12574672 is 27647521.

It is a super-3 number, since 3×12574672³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12574673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5547 + ... + 7477.

Almost surely, 2^12574672 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 12574672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655376).

12574672 is an abundant number, since it is smaller than the sum of its proper divisors (14736080).

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

12574672 is a wasteful number, since it uses less digits than its factorization.

12574672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 12574672 is about 3546.0783973285. The cubic root of 12574672 is about 232.5406534685.

It can be divided in two parts, 1257 and 4672, that added together give a square (5929 = 77²).

The spelling of 12574672 in words is "twelve million, five hundred seventy-four thousand, six hundred seventy-two".