10140072 has 64 divisors (see below), whose sum is σ = 27451200. Its totient is φ = 3110400.

The previous prime is 10140071. The next prime is 10140077. The reversal of 10140072 is 27004101.

10140072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10140071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16572 + ... + 17172.

It is an arithmetic number, because the mean of its divisors is an integer number (428925).

Almost surely, 2^10140072 is an apocalyptic number.

10140072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725600).

10140072 is an abundant number, since it is smaller than the sum of its proper divisors (17311128).

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

10140072 is a wasteful number, since it uses less digits than its factorization.

10140072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10140072 is about 3184.3479709353. The cubic root of 10140072 is about 216.4447284266. Note that the first 3 decimals are identical.

Adding to 10140072 its reverse (27004101), we get a palindrome (37144173).

The spelling of 10140072 in words is "ten million, one hundred forty thousand, seventy-two".