72704612890001 has 8 divisors (see below), whose sum is σ = 73522312920360. Its totient is φ = 71886930510208.

The previous prime is 72704612889989. The next prime is 72704612890043. The reversal of 72704612890001 is 10009821640727.

It is a Cunningham number, because it is equal to 8526700²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 72704612890000 = 1^2 + 8526700^2 .

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 72704612890001 - 2¹⁴ = 72704612873617 is a prime.

It is a super-2 number, since 2×72704612890001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72704612890051) 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, 3960755 + ... + 12692391.

It is an arithmetic number, because the mean of its divisors is an integer number (9190289115045).

Almost surely, 2^{72704612890001} is an apocalyptic number.

It is an amenable number.

72704612890001 is a deficient number, since it is larger than the sum of its proper divisors (817700030359).

72704612890001 is an equidigital number, since it uses as much as digits as its factorization.

72704612890001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825283.

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 72704612890001 in words is "seventy-two trillion, seven hundred four billion, six hundred twelve million, eight hundred ninety thousand, one".