726612810 has 128 divisors (see below), whose sum is σ = 2302193664. Its totient is φ = 142095360.

The previous prime is 726612773. The next prime is 726612811. The reversal of 726612810 is 18216627.

It is a super-2 number, since 2×726612810² = 1055932351312192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (726612811) 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 63 ways as a sum of consecutive naturals, for example, 30019 + ... + 48521.

It is an arithmetic number, because the mean of its divisors is an integer number (17985888).

Almost surely, 2^726612810 is an apocalyptic number.

726612810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 726612810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151096832).

726612810 is an abundant number, since it is smaller than the sum of its proper divisors (1575580854).

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

726612810 is a wasteful number, since it uses less digits than its factorization.

726612810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18548.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 726612810 is about 26955.7565280591. The cubic root of 726612810 is about 899.0165430225.

The spelling of 726612810 in words is "seven hundred twenty-six million, six hundred twelve thousand, eight hundred ten".