10085272 has 24 divisors (see below), whose sum is σ = 19597500. Its totient is φ = 4865504.

The previous prime is 10085249. The next prime is 10085281. The reversal of 10085272 is 27258001.

10085272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10085272² = 203425422627968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5979 + ... + 7477.

Almost surely, 2^10085272 is an apocalyptic number.

10085272 is the 1698-th centered heptagonal number.

It is an amenable number.

10085272 is a deficient number, since it is larger than the sum of its proper divisors (9512228).

10085272 is a wasteful number, since it uses less digits than its factorization.

10085272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10085272 is about 3175.7317267049. The cubic root of 10085272 is about 216.0541130998.

The spelling of 10085272 in words is "ten million, eighty-five thousand, two hundred seventy-two".