11790972 has 36 divisors (see below), whose sum is σ = 30093336. Its totient is φ = 3892320.

The previous prime is 11790971. The next prime is 11790991. The reversal of 11790972 is 27909711.

It is a tau number, because it is divible by the number of its divisors (36).

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 (11790971) 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, 2322 + ... + 5382.

It is an arithmetic number, because the mean of its divisors is an integer number (835926).

Almost surely, 2^11790972 is an apocalyptic number.

11790972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11790972 is an abundant number, since it is smaller than the sum of its proper divisors (18302364).

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

11790972 is a wasteful number, since it uses less digits than its factorization.

11790972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 11790972 is about 3433.7984798179. The cubic root of 11790972 is about 227.6057359797.

The spelling of 11790972 in words is "eleven million, seven hundred ninety thousand, nine hundred seventy-two".