738523872 has 96 divisors (see below), whose sum is σ = 2159136000. Its totient is φ = 245591424.

The previous prime is 738523871. The next prime is 738523873. The reversal of 738523872 is 278325837.

It is an interprime number because it is at equal distance from previous prime (738523871) and next prime (738523873).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738523871) 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 15 ways as a sum of consecutive naturals, for example, 516823 + ... + 518249.

It is an arithmetic number, because the mean of its divisors is an integer number (22491000).

Almost surely, 2^738523872 is an apocalyptic number.

738523872 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 738523872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568000).

738523872 is an abundant number, since it is smaller than the sum of its proper divisors (1420612128).

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

738523872 is a wasteful number, since it uses less digits than its factorization.

738523872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2031 counting only the distinct ones).

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

The square root of 738523872 is about 27175.7957013222. The cubic root of 738523872 is about 903.9023441120.

The spelling of 738523872 in words is "seven hundred thirty-eight million, five hundred twenty-three thousand, eight hundred seventy-two".