726516 has 72 divisors (see below), whose sum is σ = 2224320. Its totient is φ = 200880.

The previous prime is 726497. The next prime is 726521. The reversal of 726516 is 615627.

726516 is a `hidden beast` number, since 7 + 2 + 651 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 726516.

It is a congruent number.

It is an unprimeable number.

726516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23421 + ... + 23451.

2⁷²⁶⁵¹⁶ 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 726516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112160).

726516 is an abundant number, since it is smaller than the sum of its proper divisors (1497804).

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

726516 is a wasteful number, since it uses less digits than its factorization.

726516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 726516 is about 852.3590792618. The cubic root of 726516 is about 89.8976614532.

Subtracting from 726516 its reverse (615627), we obtain a square (110889 = 333²).

The spelling of 726516 in words is "seven hundred twenty-six thousand, five hundred sixteen".