738763872 has 192 divisors, whose sum is σ = 2438553600. Its totient is φ = 190241280.

The previous prime is 738763853. The next prime is 738763901. The reversal of 738763872 is 278367837.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027129 + ... + 1027847.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^738763872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

738763872 is an abundant number, since it is smaller than the sum of its proper divisors (1699789728).

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

738763872 is a wasteful number, since it uses less digits than its factorization.

738763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 738763872 is about 27180.2110367083. The cubic root of 738763872 is about 904.0002479964. Note that the first 3 decimals are identical.

The spelling of 738763872 in words is "seven hundred thirty-eight million, seven hundred sixty-three thousand, eight hundred seventy-two".