726651144 has 96 divisors (see below), whose sum is σ = 2124532800. Its totient is φ = 223681920.

The previous prime is 726651089. The next prime is 726651187. The reversal of 726651144 is 441156627.

It is a super-4 number, since 4×726651144⁴ (a number of 37 digits) contains 4444 as substring.

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 = 726651099 and 726651108.

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, 40459 + ... + 55589.

It is an arithmetic number, because the mean of its divisors is an integer number (22130550).

Almost surely, 2^726651144 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 726651144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062266400).

726651144 is an abundant number, since it is smaller than the sum of its proper divisors (1397881656).

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

726651144 is a wasteful number, since it uses less digits than its factorization.

726651144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15195 (or 15188 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 726651144 is about 26956.4675727366. The cubic root of 726651144 is about 899.0323525860.

The spelling of 726651144 in words is "seven hundred twenty-six million, six hundred fifty-one thousand, one hundred forty-four".