726712560 has 400 divisors, whose sum is σ = 2969351616. Its totient is φ = 161243136.

The previous prime is 726712489. The next prime is 726712573. The reversal of 726712560 is 65217627.

726712560 is a `hidden beast` number, since 7 + 26 + 71 + 2 + 560 = 666.

It is a super-2 number, since 2×726712560² = 1056222289723507200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1678104 + ... + 1678536.

Almost surely, 2^726712560 is an apocalyptic number.

726712560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726712560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484675808).

726712560 is an abundant number, since it is smaller than the sum of its proper divisors (2242639056).

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

726712560 is a wasteful number, since it uses less digits than its factorization.

726712560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

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

The square root of 726712560 is about 26957.6067186982. The cubic root of 726712560 is about 899.0576803818.

The spelling of 726712560 in words is "seven hundred twenty-six million, seven hundred twelve thousand, five hundred sixty".