726261710162472 has 96 divisors (see below), whose sum is σ = 2203767105864480. Its totient is φ = 214131216746880.

The previous prime is 726261710162459. The next prime is 726261710162479. The reversal of 726261710162472 is 274261017162627.

726261710162472 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 6 + 1 + 7 + 1 + 0 + 1 + 624 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (726261710162479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12391823518 + ... + 12391882125.

It is an arithmetic number, because the mean of its divisors is an integer number (22955907352755).

Almost surely, 2^{726261710162472} is an apocalyptic number.

726261710162472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

726261710162472 is an abundant number, since it is smaller than the sum of its proper divisors (1477505395702008).

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

726261710162472 is a wasteful number, since it uses less digits than its factorization.

726261710162472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24783705703 (or 24783705696 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 726261710162472 in words is "seven hundred twenty-six trillion, two hundred sixty-one billion, seven hundred ten million, one hundred sixty-two thousand, four hundred seventy-two".