726536520 has 128 divisors (see below), whose sum is σ = 2441318400. Its totient is φ = 192181248.

The previous prime is 726536519. The next prime is 726536521. The reversal of 726536520 is 25635627.

It is a happy number.

726536520 is a `hidden beast` number, since 72 + 6 + 536 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (726536519) and next prime (726536521).

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

It is not an unprimeable number, because it can be changed into a prime (726536521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134512 + ... + 139808.

It is an arithmetic number, because the mean of its divisors is an integer number (19072800).

Almost surely, 2^726536520 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 726536520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220659200).

726536520 is an abundant number, since it is smaller than the sum of its proper divisors (1714781880).

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

726536520 is a wasteful number, since it uses less digits than its factorization.

726536520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 726536520 is about 26954.3413942912. The cubic root of 726536520 is about 898.9850781342.

The spelling of 726536520 in words is "seven hundred twenty-six million, five hundred thirty-six thousand, five hundred twenty".