13446972 has 180 divisors, whose sum is σ = 45060400. Its totient is φ = 3492720.

The previous prime is 13446931. The next prime is 13446977. The reversal of 13446972 is 27964431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13446977) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1222447 + ... + 1222457.

Almost surely, 2^13446972 is an apocalyptic number.

13446972 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 13446972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530200).

13446972 is an abundant number, since it is smaller than the sum of its proper divisors (31613428).

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

13446972 is a wasteful number, since it uses less digits than its factorization.

13446972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13446972 is about 3667.0113171355. The cubic root of 13446972 is about 237.7979831304.

Multiplying 13446972 by its product of digits (36288), we get a square (487963719936 = 698544²).

It can be divided in two parts, 13 and 446972, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 13446972 in words is "thirteen million, four hundred forty-six thousand, nine hundred seventy-two".