72235200252641 has 8 divisors (see below), whose sum is σ = 74726164754280. Its totient is φ = 69744242119552.

The previous prime is 72235200252637. The next prime is 72235200252653. The reversal of 72235200252641 is 14625200253227.

It can be written as a sum of positive squares in 4 ways, for example, as 23152495383616 + 49082704869025 = 4811704^2 + 7005905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72235200252641 - 2² = 72235200252637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72235200252671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39188471 + ... + 40990323.

It is an arithmetic number, because the mean of its divisors is an integer number (9340770594285).

Almost surely, 2^{72235200252641} is an apocalyptic number.

It is an amenable number.

72235200252641 is a deficient number, since it is larger than the sum of its proper divisors (2490964501639).

72235200252641 is a wasteful number, since it uses less digits than its factorization.

72235200252641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184275.

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 72235200252641 in words is "seventy-two trillion, two hundred thirty-five billion, two hundred million, two hundred fifty-two thousand, six hundred forty-one".