726000 has 120 divisors (see below), whose sum is σ = 2572752. Its totient is φ = 176000.

The previous prime is 725999. The next prime is 726007. The reversal of 726000 is 627.

726000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726007) 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, 65995 + ... + 66005.

2⁷²⁶⁰⁰⁰ 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 726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286376).

726000 is an abundant number, since it is smaller than the sum of its proper divisors (1846752).

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

726000 is a wasteful number, since it uses less digits than its factorization.

726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 726000 is about 852.0563361656. The cubic root of 726000 is about 89.8763734708.

Multiplying 726000 by its sum of digits (15), we get a square (10890000 = 3300²).

726000 divided by its sum of digits (15) gives a square (48400 = 220²).

Adding to 726000 its reverse (627), we get a palindrome (726627).

The spelling of 726000 in words is "seven hundred twenty-six thousand".