738583272 has 160 divisors (see below), whose sum is σ = 2413224000. Its totient is φ = 210960288.

The previous prime is 738583271. The next prime is 738583273. The reversal of 738583272 is 272385837.

It is an interprime number because it is at equal distance from previous prime (738583271) and next prime (738583273).

It is not an unprimeable number, because it can be changed into a prime (738583271) 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 39 ways as a sum of consecutive naturals, for example, 220603 + ... + 223925.

It is an arithmetic number, because the mean of its divisors is an integer number (15082650).

Almost surely, 2^738583272 is an apocalyptic number.

738583272 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 738583272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206612000).

738583272 is an abundant number, since it is smaller than the sum of its proper divisors (1674640728).

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

738583272 is a wasteful number, since it uses less digits than its factorization.

738583272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3335 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 738583272 is about 27176.8885636307. Note that the first 3 decimals coincide. The cubic root of 738583272 is about 903.9265772983.

The spelling of 738583272 in words is "seven hundred thirty-eight million, five hundred eighty-three thousand, two hundred seventy-two".