72825779710321 has 4 divisors (see below), whose sum is σ = 79446305138544. Its totient is φ = 66205254282100.

The previous prime is 72825779710303. The next prime is 72825779710337. The reversal of 72825779710321 is 12301797752827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72825779710321 - 2⁷ = 72825779710193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72825779710321.

It is not an unprimeable number, because it can be changed into a prime (72825779710381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3310262714095 + ... + 3310262714116.

It is an arithmetic number, because the mean of its divisors is an integer number (19861576284636).

Almost surely, 2^{72825779710321} is an apocalyptic number.

It is an amenable number.

72825779710321 is a deficient number, since it is larger than the sum of its proper divisors (6620525428223).

72825779710321 is a wasteful number, since it uses less digits than its factorization.

72825779710321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620525428222.

The product of its (nonzero) digits is 20744640, while the sum is 61.

The spelling of 72825779710321 in words is "seventy-two trillion, eight hundred twenty-five billion, seven hundred seventy-nine million, seven hundred ten thousand, three hundred twenty-one".