726125125407 has 32 divisors (see below), whose sum is σ = 1118376854784. Its totient is φ = 414164390400.

The previous prime is 726125125379. The next prime is 726125125409. The reversal of 726125125407 is 704521521627.

726125125407 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 726125125407 - 2⁶ = 726125125343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726125125409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13898508 + ... + 13950654.

It is an arithmetic number, because the mean of its divisors is an integer number (34949276712).

Almost surely, 2^726125125407 is an apocalyptic number.

726125125407 is a deficient number, since it is larger than the sum of its proper divisors (392251729377).

726125125407 is a wasteful number, since it uses less digits than its factorization.

726125125407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76999.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 726125125407 in words is "seven hundred twenty-six billion, one hundred twenty-five million, one hundred twenty-five thousand, four hundred seven".