11972592 has 120 divisors (see below), whose sum is σ = 35979840. Its totient is φ = 3709440.

The previous prime is 11972579. The next prime is 11972593. The reversal of 11972592 is 29527911.

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 (11972593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196242 + ... + 196302.

It is an arithmetic number, because the mean of its divisors is an integer number (299832).

Almost surely, 2^11972592 is an apocalyptic number.

11972592 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 11972592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989920).

11972592 is an abundant number, since it is smaller than the sum of its proper divisors (24007248).

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

11972592 is a wasteful number, since it uses less digits than its factorization.

11972592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

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

The square root of 11972592 is about 3460.1433496316. The cubic root of 11972592 is about 228.7684138182.

The spelling of 11972592 in words is "eleven million, nine hundred seventy-two thousand, five hundred ninety-two".