13557672 has 64 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 4321152.

The previous prime is 13557641. The next prime is 13557673. The reversal of 13557672 is 27675531.

13557672 is a `hidden beast` number, since 13 + 5 + 576 + 72 = 666.

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 (13557673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604 + ... + 6332.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^13557672 is an apocalyptic number.

13557672 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 13557672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13557672 is an abundant number, since it is smaller than the sum of its proper divisors (25754328).

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

13557672 is a wasteful number, since it uses less digits than its factorization.

13557672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2757 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 13557672 is about 3682.0744153262. The cubic root of 13557672 is about 238.4487449685.

The spelling of 13557672 in words is "thirteen million, five hundred fifty-seven thousand, six hundred seventy-two".