726917040 has 120 divisors (see below), whose sum is σ = 2493286848. Its totient is φ = 189711360.

The previous prime is 726917027. The next prime is 726917057. The reversal of 726917040 is 40719627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 726916986 and 726917004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23100 + ... + 44580.

Almost surely, 2^726917040 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 726917040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246643424).

726917040 is an abundant number, since it is smaller than the sum of its proper divisors (1766369808).

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

726917040 is a wasteful number, since it uses less digits than its factorization.

726917040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21547 (or 21538 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 726917040 is about 26961.3990734902. The cubic root of 726917040 is about 899.1419971092.

The spelling of 726917040 in words is "seven hundred twenty-six million, nine hundred seventeen thousand, forty".