31066272 has 72 divisors (see below), whose sum is σ = 88894260. Its totient is φ = 10291200.

The previous prime is 31066249. The next prime is 31066289. The reversal of 31066272 is 27266013.

It is a happy number.

31066272 is a `hidden beast` number, since 31 + 0 + 6 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 197136 = 5556^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31066272² = 1930226511955968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77272 + ... + 77672.

Almost surely, 2^31066272 is an apocalyptic number.

31066272 is a gapful number since it is divisible by the number (32) 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 31066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447130).

31066272 is an abundant number, since it is smaller than the sum of its proper divisors (57827988).

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

31066272 is a wasteful number, since it uses less digits than its factorization.

31066272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31066272 is about 5573.7125867773. The cubic root of 31066272 is about 314.3617613693.

The spelling of 31066272 in words is "thirty-one million, sixty-six thousand, two hundred seventy-two".