738826272 has 120 divisors (see below), whose sum is σ = 2248022700. Its totient is φ = 237758976.

The previous prime is 738826247. The next prime is 738826303. The reversal of 738826272 is 272628837.

738826272 is a `hidden beast` number, since 7 + 388 + 262 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 692531856 + 46294416 = 26316^2 + 6804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70254 + ... + 80082.

Almost surely, 2^738826272 is an apocalyptic number.

738826272 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 738826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124011350).

738826272 is an abundant number, since it is smaller than the sum of its proper divisors (1509196428).

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

738826272 is a wasteful number, since it uses less digits than its factorization.

738826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880 (or 9863 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 738826272 is about 27181.3589064270. The cubic root of 738826272 is about 904.0256995330.

The spelling of 738826272 in words is "seven hundred thirty-eight million, eight hundred twenty-six thousand, two hundred seventy-two".