726660144 has 120 divisors (see below), whose sum is σ = 2342326272. Its totient is φ = 205994880.

The previous prime is 726660127. The next prime is 726660161. The reversal of 726660144 is 441066627.

It is an interprime number because it is at equal distance from previous prime (726660127) and next prime (726660161).

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 = 726660099 and 726660108.

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, 129297 + ... + 134799.

Almost surely, 2^726660144 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 726660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171163136).

726660144 is an abundant number, since it is smaller than the sum of its proper divisors (1615666128).

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

726660144 is a wasteful number, since it uses less digits than its factorization.

726660144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 726660144 is about 26956.6345080390. The cubic root of 726660144 is about 899.0360642514.

The spelling of 726660144 in words is "seven hundred twenty-six million, six hundred sixty thousand, one hundred forty-four".