72250653501 has 48 divisors (see below), whose sum is σ = 115193398320. Its totient is φ = 43354045440.

The previous prime is 72250653493. The next prime is 72250653511. The reversal of 72250653501 is 10535605227.

72250653501 is a `hidden beast` number, since 72 + 2 + 50 + 6 + 535 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59682001401 + 12568652100 = 244299^2 + 112110^2 .

It is not a de Polignac number, because 72250653501 - 2³ = 72250653493 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 (72250653511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13606435 + ... + 13611743.

It is an arithmetic number, because the mean of its divisors is an integer number (2399862465).

Almost surely, 2^72250653501 is an apocalyptic number.

It is an amenable number.

72250653501 is a deficient number, since it is larger than the sum of its proper divisors (42942744819).

72250653501 is a wasteful number, since it uses less digits than its factorization.

72250653501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 72250653501 in words is "seventy-two billion, two hundred fifty million, six hundred fifty-three thousand, five hundred one".