738016272 has 320 divisors, whose sum is σ = 2576977920. Its totient is φ = 200154240.

The previous prime is 738016243. The next prime is 738016303. The reversal of 738016272 is 272610837.

738016272 is a `hidden beast` number, since 7 + 380 + 1 + 6 + 272 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5633647 + ... + 5633777.

It is an arithmetic number, because the mean of its divisors is an integer number (8053056).

Almost surely, 2^738016272 is an apocalyptic number.

738016272 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 738016272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288488960).

738016272 is an abundant number, since it is smaller than the sum of its proper divisors (1838961648).

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

738016272 is a wasteful number, since it uses less digits than its factorization.

738016272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 738016272 is about 27166.4549030601. The cubic root of 738016272 is about 903.6952075044.

The spelling of 738016272 in words is "seven hundred thirty-eight million, sixteen thousand, two hundred seventy-two".