72010653 has 32 divisors (see below), whose sum is σ = 113447040. Its totient is φ = 40055040.

The previous prime is 72010649. The next prime is 72010661. The reversal of 72010653 is 35601027.

It is not a de Polignac number, because 72010653 - 2² = 72010649 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72010643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97875 + ... + 98607.

It is an arithmetic number, because the mean of its divisors is an integer number (3545220).

Almost surely, 2^72010653 is an apocalyptic number.

It is an amenable number.

72010653 is a deficient number, since it is larger than the sum of its proper divisors (41436387).

72010653 is a wasteful number, since it uses less digits than its factorization.

72010653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989.

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

The square root of 72010653 is about 8485.9090850657. The cubic root of 72010653 is about 416.0372813143.

The spelling of 72010653 in words is "seventy-two million, ten thousand, six hundred fifty-three".