72735858807357 has 16 divisors (see below), whose sum is σ = 97033807620288. Its totient is φ = 48464243051520.

The previous prime is 72735858807347. The next prime is 72735858807371. The reversal of 72735858807357 is 75370885853727.

It is not a de Polignac number, because 72735858807357 - 2²⁴ = 72735842030141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735858807347) 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, 175190382 + ... + 175605072.

It is an arithmetic number, because the mean of its divisors is an integer number (6064612976268).

Almost surely, 2^{72735858807357} is an apocalyptic number.

It is an amenable number.

72735858807357 is a deficient number, since it is larger than the sum of its proper divisors (24297948812931).

72735858807357 is a wasteful number, since it uses less digits than its factorization.

72735858807357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446300.

The product of its (nonzero) digits is 2765952000, while the sum is 75.

The spelling of 72735858807357 in words is "seventy-two trillion, seven hundred thirty-five billion, eight hundred fifty-eight million, eight hundred seven thousand, three hundred fifty-seven".