726763752 has 480 divisors, whose sum is σ = 2595479040. Its totient is φ = 188179200.

The previous prime is 726763747. The next prime is 726763757. The reversal of 726763752 is 257367627.

726763752 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 637 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (726763747) and next prime (726763757).

It is a super-2 number, since 2×726763752² = 1056371102442235008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726763698 and 726763707.

It is not an unprimeable number, because it can be changed into a prime (726763757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23443977 + ... + 23444007.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2^726763752 is an apocalyptic number.

726763752 is a gapful number since it is divisible by the number (72) 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 726763752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297739520).

726763752 is an abundant number, since it is smaller than the sum of its proper divisors (1868715288).

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

726763752 is a wasteful number, since it uses less digits than its factorization.

726763752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 726763752 is about 26958.5561927934. The cubic root of 726763752 is about 899.0787907367.

The spelling of 726763752 in words is "seven hundred twenty-six million, seven hundred sixty-three thousand, seven hundred fifty-two".