726382020 has 192 divisors, whose sum is σ = 2520967680. Its totient is φ = 152174592.

The previous prime is 726381983. The next prime is 726382051. The reversal of 726382020 is 20283627.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944196 + ... + 944964.

It is an arithmetic number, because the mean of its divisors is an integer number (13130040).

Almost surely, 2^726382020 is an apocalyptic number.

726382020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726382020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260483840).

726382020 is an abundant number, since it is smaller than the sum of its proper divisors (1794585660).

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

726382020 is a wasteful number, since it uses less digits than its factorization.

726382020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 726382020 is about 26951.4752842957. The cubic root of 726382020 is about 898.9213497291.

The spelling of 726382020 in words is "seven hundred twenty-six million, three hundred eighty-two thousand, twenty".