726024168 has 128 divisors (see below), whose sum is σ = 2150236800. Its totient is φ = 226188288.

The previous prime is 726024137. The next prime is 726024197. The reversal of 726024168 is 861420627.

726024168 is a `hidden beast` number, since 7 + 2 + 602 + 41 + 6 + 8 = 666.

It is a super-2 number, since 2×726024168² = 1054222185040184448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 597930 + ... + 599142.

It is an arithmetic number, because the mean of its divisors is an integer number (16798725).

Almost surely, 2^726024168 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 726024168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075118400).

726024168 is an abundant number, since it is smaller than the sum of its proper divisors (1424212632).

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

726024168 is a wasteful number, since it uses less digits than its factorization.

726024168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 726024168 is about 26944.8356461865. The cubic root of 726024168 is about 898.7737076556.

The spelling of 726024168 in words is "seven hundred twenty-six million, twenty-four thousand, one hundred sixty-eight".