10056972 has 24 divisors (see below), whose sum is σ = 24039792. Its totient is φ = 3270400.

The previous prime is 10056967. The next prime is 10056973. The reversal of 10056972 is 27965001.

It is a super-2 number, since 2×10056972² = 202285371617568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9729 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (1001658).

Almost surely, 2^10056972 is an apocalyptic number.

10056972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10056972 is an abundant number, since it is smaller than the sum of its proper divisors (13982820).

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

10056972 is a wasteful number, since it uses less digits than its factorization.

10056972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20489 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 10056972 is about 3171.2729305438. The cubic root of 10056972 is about 215.8518359767.

The spelling of 10056972 in words is "ten million, fifty-six thousand, nine hundred seventy-two".