726849312 has 384 divisors, whose sum is σ = 2471067648. Its totient is φ = 182476800.

The previous prime is 726849307. The next prime is 726849317. The reversal of 726849312 is 213948627.

It is an interprime number because it is at equal distance from previous prime (726849307) and next prime (726849317).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (145152) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (726849317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17728012 + ... + 17728052.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^726849312 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 726849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235533824).

726849312 is an abundant number, since it is smaller than the sum of its proper divisors (1744218336).

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

726849312 is a wasteful number, since it uses less digits than its factorization.

726849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 726849312 is about 26960.1430263268. The cubic root of 726849312 is about 899.1140714189.

The spelling of 726849312 in words is "seven hundred twenty-six million, eight hundred forty-nine thousand, three hundred twelve".