12429072 has 40 divisors (see below), whose sum is σ = 35677280. Its totient is φ = 4142880.

The previous prime is 12429061. The next prime is 12429073. The reversal of 12429072 is 27092421.

12429072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12429073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13954 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (891932).

Almost surely, 2^12429072 is an apocalyptic number.

12429072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12429072 is an abundant number, since it is smaller than the sum of its proper divisors (23248208).

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

12429072 is a wasteful number, since it uses less digits than its factorization.

12429072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28788 (or 28776 counting only the distinct ones).

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

The square root of 12429072 is about 3525.4889022659. The cubic root of 12429072 is about 231.6396506518.

The spelling of 12429072 in words is "twelve million, four hundred twenty-nine thousand, seventy-two".