726232025520 has 240 divisors, whose sum is σ = 2487182810112. Its totient is φ = 189866027520.

The previous prime is 726232025489. The next prime is 726232025537. The reversal of 726232025520 is 25520232627.

726232025520 is a `hidden beast` number, since 7 + 2 + 62 + 320 + 255 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7782177 + ... + 7874943.

Almost surely, 2^726232025520 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 726232025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243591405056).

726232025520 is an abundant number, since it is smaller than the sum of its proper divisors (1760950784592).

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

726232025520 is a wasteful number, since it uses less digits than its factorization.

726232025520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93000 (or 92991 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 726232025520 in words is "seven hundred twenty-six billion, two hundred thirty-two million, twenty-five thousand, five hundred twenty".