10165672 has 32 divisors (see below), whose sum is σ = 20916000. Its totient is φ = 4593600.

The previous prime is 10165637. The next prime is 10165681. The reversal of 10165672 is 27656101.

10165672 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-3 number, since 3×10165672³ (a number of 22 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10165672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28954 + ... + 29302.

It is an arithmetic number, because the mean of its divisors is an integer number (653625).

Almost surely, 2^10165672 is an apocalyptic number.

It is an amenable number.

10165672 is an abundant number, since it is smaller than the sum of its proper divisors (10750328).

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

10165672 is a wasteful number, since it uses less digits than its factorization.

10165672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10165672 is about 3188.3650982910. The cubic root of 10165672 is about 216.6267234718.

The spelling of 10165672 in words is "ten million, one hundred sixty-five thousand, six hundred seventy-two".