726153090 has 64 divisors (see below), whose sum is σ = 1895152896. Its totient is φ = 177000192.

The previous prime is 726153067. The next prime is 726153133. The reversal of 726153090 is 90351627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31132 + ... + 49208.

It is an arithmetic number, because the mean of its divisors is an integer number (29611764).

Almost surely, 2^726153090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726153090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947576448).

726153090 is an abundant number, since it is smaller than the sum of its proper divisors (1168999806).

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

726153090 is a wasteful number, since it uses less digits than its factorization.

726153090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18203.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 726153090 is about 26947.2278722692. The cubic root of 726153090 is about 898.8269037021.

The spelling of 726153090 in words is "seven hundred twenty-six million, one hundred fifty-three thousand, ninety".