726120505215 has 64 divisors (see below), whose sum is σ = 1562074398720. Its totient is φ = 312414865920.

The previous prime is 726120505189. The next prime is 726120505217. The reversal of 726120505215 is 512505021627.

726120505215 is a `hidden beast` number, since 7 + 2 + 6 + 120 + 5 + 0 + 521 + 5 = 666.

It is not a de Polignac number, because 726120505215 - 2⁶ = 726120505151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 726120505215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726120505217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22583391 + ... + 22615520.

It is an arithmetic number, because the mean of its divisors is an integer number (24407412480).

Almost surely, 2^726120505215 is an apocalyptic number.

726120505215 is an abundant number, since it is smaller than the sum of its proper divisors (835953893505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

726120505215 is a wasteful number, since it uses less digits than its factorization.

726120505215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45198949 (or 45198943 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 726120505215 in words is "seven hundred twenty-six billion, one hundred twenty million, five hundred five thousand, two hundred fifteen".