726377472 has 132 divisors (see below), whose sum is σ = 2112381180. Its totient is φ = 240402432.

The previous prime is 726377423. The next prime is 726377489. The reversal of 726377472 is 274773627.

726377472 is a `hidden beast` number, since 7 + 2 + 637 + 7 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 372335616 + 354041856 = 19296^2 + 18816^2 .

It is a super-2 number, since 2×726377472² = 1055248463658221568, which contains 22 as substring.

Its product of digits (691488) is a multiple of the sum of its prime factors (588).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478958 + ... + 2479250.

Almost surely, 2^726377472 is an apocalyptic number.

726377472 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 726377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056190590).

726377472 is an abundant number, since it is smaller than the sum of its proper divisors (1386003708).

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

726377472 is a wasteful number, since it uses less digits than its factorization.

726377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 567 counting only the distinct ones).

The product of its digits is 691488, while the sum is 45.

The square root of 726377472 is about 26951.3909103037. The cubic root of 726377472 is about 898.9194736259.

The spelling of 726377472 in words is "seven hundred twenty-six million, three hundred seventy-seven thousand, four hundred seventy-two".