726161040 has 240 divisors, whose sum is σ = 2678060736. Its totient is φ = 174873600.

The previous prime is 726161039. The next prime is 726161041. The reversal of 726161040 is 40161627.

726161040 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 610 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (726161039) and next prime (726161041).

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

It is a junction number, because it is equal to n+sod(n) for n = 726160995 and 726161013.

It is not an unprimeable number, because it can be changed into a prime (726161041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193675 + ... + 2194005.

Almost surely, 2^726161040 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 726161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339030368).

726161040 is an abundant number, since it is smaller than the sum of its proper divisors (1951899696).

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

726161040 is a wasteful number, since it uses less digits than its factorization.

726161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 726161040 is about 26947.3753824004. The cubic root of 726161040 is about 898.8301838404.

The spelling of 726161040 in words is "seven hundred twenty-six million, one hundred sixty-one thousand, forty".