10072653 has 16 divisors (see below), whose sum is σ = 14288256. Its totient is φ = 6289920.

The previous prime is 10072639. The next prime is 10072663. The reversal of 10072653 is 35627001.

10072653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072653 - 2⁶ = 10072589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072663) 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, 15648 + ... + 16278.

It is an arithmetic number, because the mean of its divisors is an integer number (893016).

Almost surely, 2^10072653 is an apocalyptic number.

It is an amenable number.

10072653 is a deficient number, since it is larger than the sum of its proper divisors (4215603).

10072653 is a wasteful number, since it uses less digits than its factorization.

10072653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10072653 is about 3173.7443186243. The cubic root of 10072653 is about 215.9639643245.

Adding to 10072653 its reverse (35627001), we get a palindrome (45699654).

The spelling of 10072653 in words is "ten million, seventy-two thousand, six hundred fifty-three".