726367140 has 144 divisors (see below), whose sum is σ = 2348656128. Its totient is φ = 181285632.

The previous prime is 726367139. The next prime is 726367141. The reversal of 726367140 is 41763627.

726367140 is a `hidden beast` number, since 7 + 2 + 636 + 7 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (726367139) and next prime (726367141).

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 = 726367095 and 726367104.

It is not an unprimeable number, because it can be changed into a prime (726367141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192714 + ... + 196446.

It is an arithmetic number, because the mean of its divisors is an integer number (16310112).

Almost surely, 2^726367140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726367140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174328064).

726367140 is an abundant number, since it is smaller than the sum of its proper divisors (1622288988).

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

726367140 is a wasteful number, since it uses less digits than its factorization.

726367140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 726367140 is about 26951.1992312031. The cubic root of 726367140 is about 898.9152115260.

The spelling of 726367140 in words is "seven hundred twenty-six million, three hundred sixty-seven thousand, one hundred forty".