11829972 has 144 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 2923200.

The previous prime is 11829959. The next prime is 11829991. The reversal of 11829972 is 27992811.

It is a self number, because there is not a number n which added to its sum of digits gives 11829972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200479 + ... + 200537.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 2^11829972 is an apocalyptic number.

11829972 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 11829972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11829972 is an abundant number, since it is smaller than the sum of its proper divisors (24941868).

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

11829972 is a wasteful number, since it uses less digits than its factorization.

11829972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11829972 is about 3439.4726339949. The cubic root of 11829972 is about 227.8564038870.

The spelling of 11829972 in words is "eleven million, eight hundred twenty-nine thousand, nine hundred seventy-two".