726168240 has 300 divisors, whose sum is σ = 2935142496. Its totient is φ = 165908736.

The previous prime is 726168227. The next prime is 726168257. The reversal of 726168240 is 42861627.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 726168195 and 726168204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316377 + ... + 318663.

Almost surely, 2^726168240 is an apocalyptic number.

726168240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467571248).

726168240 is an abundant number, since it is smaller than the sum of its proper divisors (2208974256).

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

726168240 is a wasteful number, since it uses less digits than its factorization.

726168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 726168240 is about 26947.5089757848. The cubic root of 726168240 is about 898.8331545111.

The spelling of 726168240 in words is "seven hundred twenty-six million, one hundred sixty-eight thousand, two hundred forty".