726370920 has 384 divisors, whose sum is σ = 2729825280. Its totient is φ = 165888000.

The previous prime is 726370907. The next prime is 726370927. The reversal of 726370920 is 29073627.

It is a super-2 number, since 2×726370920² = 1055229426843292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (726370927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7488312 + ... + 7488408.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^726370920 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 726370920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

726370920 is an abundant number, since it is smaller than the sum of its proper divisors (2003454360).

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

726370920 is a wasteful number, since it uses less digits than its factorization.

726370920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 726370920 is about 26951.2693578614. The cubic root of 726370920 is about 898.9167708356.

The spelling of 726370920 in words is "seven hundred twenty-six million, three hundred seventy thousand, nine hundred twenty".