738303072 has 192 divisors, whose sum is σ = 2190633984. Its totient is φ = 216207360.

The previous prime is 738303067. The next prime is 738303089. The reversal of 738303072 is 270303837.

It is a happy number.

It is a super-2 number, since 2×738303072² = 1090182852249274368, which contains 22 as substring.

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, 2404743 + ... + 2405049.

It is an arithmetic number, because the mean of its divisors is an integer number (11409552).

Almost surely, 2^738303072 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 738303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095316992).

738303072 is an abundant number, since it is smaller than the sum of its proper divisors (1452330912).

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

738303072 is a wasteful number, since it uses less digits than its factorization.

738303072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 738303072 is about 27171.7329590882. The cubic root of 738303072 is about 903.8122538033.

It can be divided in two parts, 738 and 303072, that added together give a triangular number (303810 = T₇₇₉).

The spelling of 738303072 in words is "seven hundred thirty-eight million, three hundred three thousand, seventy-two".