11205972 has 96 divisors (see below), whose sum is σ = 31539200. Its totient is φ = 3429216.

The previous prime is 11205959. The next prime is 11205979. The reversal of 11205972 is 27950211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88173 + ... + 88299.

Almost surely, 2^11205972 is an apocalyptic number.

11205972 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 11205972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769600).

11205972 is an abundant number, since it is smaller than the sum of its proper divisors (20333228).

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

11205972 is a wasteful number, since it uses less digits than its factorization.

11205972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11205972 is about 3347.5322253863. The cubic root of 11205972 is about 223.7775480787. Note that the first 3 decimals are identical.

The spelling of 11205972 in words is "eleven million, two hundred five thousand, nine hundred seventy-two".