726176520 has 96 divisors (see below), whose sum is σ = 2366484120. Its totient is φ = 193121280.

The previous prime is 726176509. The next prime is 726176663. The reversal of 726176520 is 25671627.

726176520 is a `hidden beast` number, since 7 + 2 + 61 + 76 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 508141764 + 218034756 = 22542^2 + 14766^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140380 + ... + 145460.

Almost surely, 2^726176520 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 726176520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183242060).

726176520 is an abundant number, since it is smaller than the sum of its proper divisors (1640307600).

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

726176520 is a wasteful number, since it uses less digits than its factorization.

726176520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 726176520 is about 26947.6626073580. The cubic root of 726176520 is about 898.8365707581.

The spelling of 726176520 in words is "seven hundred twenty-six million, one hundred seventy-six thousand, five hundred twenty".