10665972 has 48 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3494880.

The previous prime is 10665971. The next prime is 10665979. The reversal of 10665972 is 27956601.

10665972 is a `hidden beast` number, since 1 + 0 + 66 + 597 + 2 = 666.

It is a super-2 number, since 2×10665972² = 227525917409568, which contains 22 as substring.

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 (10665971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5779 + ... + 7397.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^10665972 is an apocalyptic number.

10665972 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 10665972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

10665972 is an abundant number, since it is smaller than the sum of its proper divisors (17457228).

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

10665972 is a wasteful number, since it uses less digits than its factorization.

10665972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10665972 is about 3265.8799732997. The cubic root of 10665972 is about 220.1237045334.

The spelling of 10665972 in words is "ten million, six hundred sixty-five thousand, nine hundred seventy-two".