726024 has 48 divisors (see below), whose sum is σ = 1976400. Its totient is φ = 222144.

The previous prime is 726023. The next prime is 726043. The reversal of 726024 is 420627.

It is a happy number.

It is a super-2 number, since 2×726024² = 1054221697152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (726023) 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, 3967 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (41175).

2⁷²⁶⁰²⁴ 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 726024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988200).

726024 is an abundant number, since it is smaller than the sum of its proper divisors (1250376).

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

726024 is a wasteful number, since it uses less digits than its factorization.

726024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 726024 is about 852.0704196250. The cubic root of 726024 is about 89.8773638331.

The spelling of 726024 in words is "seven hundred twenty-six thousand, twenty-four".