726762500 has 72 divisors (see below), whose sum is σ = 1621161864. Its totient is φ = 284960000.

The previous prime is 726762497. The next prime is 726762539. The reversal of 726762500 is 5267627.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 725548096 + 1214404 = 26936^2 + 1102^2 .

It is a congruent number.

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, 661952 + ... + 663048.

It is an arithmetic number, because the mean of its divisors is an integer number (22516137).

Almost surely, 2^726762500 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 726762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810580932).

726762500 is an abundant number, since it is smaller than the sum of its proper divisors (894399364).

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

726762500 is a wasteful number, since it uses less digits than its factorization.

726762500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 726762500 is about 26958.5329719553. The cubic root of 726762500 is about 899.0782744537.

The spelling of 726762500 in words is "seven hundred twenty-six million, seven hundred sixty-two thousand, five hundred".