11535972 has 72 divisors (see below), whose sum is σ = 32711616. Its totient is φ = 3148992.

The previous prime is 11535941. The next prime is 11535973. The reversal of 11535972 is 27953511.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11535973) 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, 13098 + ... + 13950.

It is an arithmetic number, because the mean of its divisors is an integer number (454328).

Almost surely, 2^11535972 is an apocalyptic number.

11535972 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 11535972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355808).

11535972 is an abundant number, since it is smaller than the sum of its proper divisors (21175644).

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

11535972 is a wasteful number, since it uses less digits than its factorization.

11535972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 11535972 is about 3396.4646325260. The cubic root of 11535972 is about 225.9529753102.

The spelling of 11535972 in words is "eleven million, five hundred thirty-five thousand, nine hundred seventy-two".