726600 has 96 divisors (see below), whose sum is σ = 2589120. Its totient is φ = 165120.

The previous prime is 726599. The next prime is 726601. The reversal of 726600 is 6627.

It is an interprime number because it is at equal distance from previous prime (726599) and next prime (726601).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (726601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4114 + ... + 4286.

It is an arithmetic number, because the mean of its divisors is an integer number (26970).

2⁷²⁶⁶⁰⁰ is an apocalyptic number.

726600 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 726600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294560).

726600 is an abundant number, since it is smaller than the sum of its proper divisors (1862520).

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

726600 is a wasteful number, since it uses less digits than its factorization.

726600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 726600 is about 852.4083528450. The cubic root of 726600 is about 89.9011259847.

It can be divided in two parts, 726 and 600, that multiplied together give a square (435600 = 660²).

The spelling of 726600 in words is "seven hundred twenty-six thousand, six hundred".