726192 has 60 divisors (see below), whose sum is σ = 2136520. Its totient is φ = 236160.

The previous prime is 726191. The next prime is 726221. The reversal of 726192 is 291627.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726192.

It is not an unprimeable number, because it can be changed into a prime (726191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17692 + ... + 17732.

2⁷²⁶¹⁹² is an apocalyptic number.

726192 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 726192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068260).

726192 is an abundant number, since it is smaller than the sum of its proper divisors (1410328).

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

726192 is a wasteful number, since it uses less digits than its factorization.

726192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 726192 is about 852.1689973239. The cubic root of 726192 is about 89.8842957585.

Multiplying 726192 by its sum of digits (27), we get a square (19607184 = 4428²).

726192 divided by its sum of digits (27) gives a square (26896 = 164²).

The spelling of 726192 in words is "seven hundred twenty-six thousand, one hundred ninety-two".