726577020 has 384 divisors, whose sum is σ = 2607897600. Its totient is φ = 166634496.

The previous prime is 726577001. The next prime is 726577037. The reversal of 726577020 is 20775627.

It is a super-3 number, since 3×726577020³ (a number of 28 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8753899 + ... + 8753981.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2^726577020 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 726577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303948800).

726577020 is an abundant number, since it is smaller than the sum of its proper divisors (1881320580).

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

726577020 is a wasteful number, since it uses less digits than its factorization.

726577020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 726577020 is about 26955.0926542648. The cubic root of 726577020 is about 899.0017821439.

The spelling of 726577020 in words is "seven hundred twenty-six million, five hundred seventy-seven thousand, twenty".