12477672 has 64 divisors (see below), whose sum is σ = 35265600. Its totient is φ = 4086720.

The previous prime is 12477667. The next prime is 12477679. The reversal of 12477672 is 27677421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12477679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12703 + ... + 13649.

It is an arithmetic number, because the mean of its divisors is an integer number (551025).

Almost surely, 2^12477672 is an apocalyptic number.

12477672 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 12477672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632800).

12477672 is an abundant number, since it is smaller than the sum of its proper divisors (22787928).

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

12477672 is a wasteful number, since it uses less digits than its factorization.

12477672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 12477672 is about 3532.3748385470. The cubic root of 12477672 is about 231.9411761288.

The spelling of 12477672 in words is "twelve million, four hundred seventy-seven thousand, six hundred seventy-two".