726739720 has 128 divisors (see below), whose sum is σ = 1911029760. Its totient is φ = 243613440.

The previous prime is 726739711. The next prime is 726739729. The reversal of 726739720 is 27937627.

It is an interprime number because it is at equal distance from previous prime (726739711) and next prime (726739729).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (726739729) 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, 3804825 + ... + 3805015.

It is an arithmetic number, because the mean of its divisors is an integer number (14929920).

Almost surely, 2^726739720 is an apocalyptic number.

726739720 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 726739720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955514880).

726739720 is an abundant number, since it is smaller than the sum of its proper divisors (1184290040).

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

726739720 is a wasteful number, since it uses less digits than its factorization.

726739720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 43.

The square root of 726739720 is about 26958.1104679093. The cubic root of 726739720 is about 899.0688806389.

The spelling of 726739720 in words is "seven hundred twenty-six million, seven hundred thirty-nine thousand, seven hundred twenty".