726112512 has 270 divisors, whose sum is σ = 2308645878. Its totient is φ = 226934784.

The previous prime is 726112511. The next prime is 726112549. The reversal of 726112512 is 215211627.

It can be written as a sum of positive squares in only one way, i.e., 606341376 + 119771136 = 24624^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (726112511) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7485648 + ... + 7485744.

Almost surely, 2^726112512 is an apocalyptic number.

726112512 is a gapful number since it is divisible by the number (72) 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 726112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154322939).

726112512 is an abundant number, since it is smaller than the sum of its proper divisors (1582533366).

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

726112512 is an equidigital number, since it uses as much as digits as its factorization.

726112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 726112512 is about 26946.4749457141. The cubic root of 726112512 is about 898.8101610078.

The spelling of 726112512 in words is "seven hundred twenty-six million, one hundred twelve thousand, five hundred twelve".