10138072 has 32 divisors (see below), whose sum is σ = 21837600. Its totient is φ = 4322304.

The previous prime is 10138057. The next prime is 10138087. The reversal of 10138072 is 27083101.

10138072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10138057) and next prime (10138087).

It is a congruent number.

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, 14728 + ... + 15400.

It is an arithmetic number, because the mean of its divisors is an integer number (682425).

Almost surely, 2^10138072 is an apocalyptic number.

It is an amenable number.

10138072 is an abundant number, since it is smaller than the sum of its proper divisors (11699528).

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

10138072 is a wasteful number, since it uses less digits than its factorization.

10138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10138072 is about 3184.0339194173. The cubic root of 10138072 is about 216.4304971693.

The spelling of 10138072 in words is "ten million, one hundred thirty-eight thousand, seventy-two".