13527972 has 60 divisors (see below), whose sum is σ = 36224496. Its totient is φ = 4399920.

The previous prime is 13527967. The next prime is 13527989. The reversal of 13527972 is 27972531.

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

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 19 ways as a sum of consecutive naturals, for example, 13447 + ... + 14417.

Almost surely, 2^13527972 is an apocalyptic number.

13527972 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 13527972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112248).

13527972 is an abundant number, since it is smaller than the sum of its proper divisors (22696524).

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

13527972 is a wasteful number, since it uses less digits than its factorization.

13527972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 13527972 is about 3678.0391515045. The cubic root of 13527972 is about 238.2744990914.

The spelling of 13527972 in words is "thirteen million, five hundred twenty-seven thousand, nine hundred seventy-two".