10065672 has 24 divisors (see below), whose sum is σ = 27261390. Its totient is φ = 3355200.

The previous prime is 10065667. The next prime is 10065677. The reversal of 10065672 is 27656001.

10065672 is a `hidden beast` number, since 1 + 0 + 0 + 656 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10065667) and next prime (10065677).

It can be written as a sum of positive squares in only one way, i.e., 7650756 + 2414916 = 2766^2 + 1554^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10065672³ (a number of 22 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (10065677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69829 + ... + 69972.

Almost surely, 2^10065672 is an apocalyptic number.

10065672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10065672 is an abundant number, since it is smaller than the sum of its proper divisors (17195718).

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

10065672 is a wasteful number, since it uses less digits than its factorization.

10065672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139813 (or 139806 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10065672 is about 3172.6443229584. The cubic root of 10065672 is about 215.9140604621.

The spelling of 10065672 in words is "ten million, sixty-five thousand, six hundred seventy-two".