72540753373373 has 8 divisors (see below), whose sum is σ = 75353536921080. Its totient is φ = 69748728376320.

The previous prime is 72540753373303. The next prime is 72540753373447. The reversal of 72540753373373 is 37337335704527.

It can be written as a sum of positive squares in 4 ways, for example, as 34894515636964 + 37646237736409 = 5907158^2 + 6135653^2 .

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 72540753373373 - 2²⁰ = 72540752324797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72540753373303) 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, 5189630540 + ... + 5189644517.

It is an arithmetic number, because the mean of its divisors is an integer number (9419192115135).

Almost surely, 2^{72540753373373} is an apocalyptic number.

It is an amenable number.

72540753373373 is a deficient number, since it is larger than the sum of its proper divisors (2812783547707).

72540753373373 is a wasteful number, since it uses less digits than its factorization.

72540753373373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379275327.

The product of its (nonzero) digits is 116688600, while the sum is 59.

The spelling of 72540753373373 in words is "seventy-two trillion, five hundred forty billion, seven hundred fifty-three million, three hundred seventy-three thousand, three hundred seventy-three".