726136416 has 36 divisors (see below), whose sum is σ = 2064951252. Its totient is φ = 242045376.

The previous prime is 726136409. The next prime is 726136429. The reversal of 726136416 is 614631627.

It is a happy number.

726136416 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1260366 + ... + 1260941.

It is an arithmetic number, because the mean of its divisors is an integer number (57359757).

Almost surely, 2^726136416 is an apocalyptic number.

It is an amenable number.

726136416 is an abundant number, since it is smaller than the sum of its proper divisors (1338814836).

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

726136416 is a wasteful number, since it uses less digits than its factorization.

726136416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521323 (or 2521312 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 726136416 is about 26946.9184880201. The cubic root of 726136416 is about 898.8200239983.

The spelling of 726136416 in words is "seven hundred twenty-six million, one hundred thirty-six thousand, four hundred sixteen".