726792 has 32 divisors (see below), whose sum is σ = 1982880. Its totient is φ = 220160.

The previous prime is 726787. The next prime is 726797. The reversal of 726792 is 297627.

It is an interprime number because it is at equal distance from previous prime (726787) and next prime (726797).

It is a super-2 number, since 2×726792² = 1056453222528, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726792.

It is not an unprimeable number, because it can be changed into a prime (726797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (61965).

2⁷²⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

726792 is an abundant number, since it is smaller than the sum of its proper divisors (1256088).

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

726792 is a wasteful number, since it uses less digits than its factorization.

726792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 726792 is about 852.5209674841. The cubic root of 726792 is about 89.9090439111.

The spelling of 726792 in words is "seven hundred twenty-six thousand, seven hundred ninety-two".