15972192 has 72 divisors (see below), whose sum is σ = 46912320. Its totient is φ = 5149440.

The previous prime is 15972157. The next prime is 15972193. The reversal of 15972192 is 29127951.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×15972192² = 510221834569728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15972193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8034 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (651560).

Almost surely, 2^15972192 is an apocalyptic number.

15972192 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 15972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23456160).

15972192 is an abundant number, since it is smaller than the sum of its proper divisors (30940128).

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

15972192 is a wasteful number, since it uses less digits than its factorization.

15972192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1825 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 15972192 is about 3996.5224883641. The cubic root of 15972192 is about 251.8381424722.

The spelling of 15972192 in words is "fifteen million, nine hundred seventy-two thousand, one hundred ninety-two".