12492072 has 24 divisors (see below), whose sum is σ = 33832890. Its totient is φ = 4164000.

The previous prime is 12492061. The next prime is 12492089. The reversal of 12492072 is 27029421.

It can be written as a sum of positive squares in only one way, i.e., 12489156 + 2916 = 3534^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×12492072³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86679 + ... + 86822.

Almost surely, 2^12492072 is an apocalyptic number.

12492072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12492072 is an abundant number, since it is smaller than the sum of its proper divisors (21340818).

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

12492072 is a wasteful number, since it uses less digits than its factorization.

12492072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173513 (or 173506 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12492072 is about 3534.4125395884. The cubic root of 12492072 is about 232.0303666157.

It can be divided in two parts, 1249 and 2072, that added together give a triangular number (3321 = T₈₁).

The spelling of 12492072 in words is "twelve million, four hundred ninety-two thousand, seventy-two".