726024090 has 64 divisors (see below), whose sum is σ = 1905628032. Its totient is φ = 175564800.

The previous prime is 726024073. The next prime is 726024097. The reversal of 726024090 is 90420627.

It is a happy number.

It is a super-2 number, since 2×726024090² = 1054221958520656200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (726024097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140350 + ... + 145430.

It is an arithmetic number, because the mean of its divisors is an integer number (29775438).

Almost surely, 2^726024090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726024090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952814016).

726024090 is an abundant number, since it is smaller than the sum of its proper divisors (1179603942).

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

726024090 is a wasteful number, since it uses less digits than its factorization.

726024090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 726024090 is about 26944.8341987847. The cubic root of 726024090 is about 898.7736754692.

The spelling of 726024090 in words is "seven hundred twenty-six million, twenty-four thousand, ninety".