12531672 has 80 divisors (see below), whose sum is σ = 35675640. Its totient is φ = 4109184.

The previous prime is 12531671. The next prime is 12531689. The reversal of 12531672 is 27613521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53668 + ... + 53900.

Almost surely, 2^12531672 is an apocalyptic number.

12531672 is a gapful number since it is divisible by the number (12) 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 12531672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820).

12531672 is an abundant number, since it is smaller than the sum of its proper divisors (23143968).

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

12531672 is a wasteful number, since it uses less digits than its factorization.

12531672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12531672 is about 3540.0101694769. The cubic root of 12531672 is about 232.2752875669.

It can be divided in two parts, 12531 and 672, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12531672 in words is "twelve million, five hundred thirty-one thousand, six hundred seventy-two".