738351072 has 144 divisors (see below), whose sum is σ = 2288427120. Its totient is φ = 231561216.

The previous prime is 738351023. The next prime is 738351091. The reversal of 738351072 is 270153837.

738351072 is a `hidden beast` number, since 73 + 8 + 3 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 248218 + ... + 251174.

It is an arithmetic number, because the mean of its divisors is an integer number (15891855).

Almost surely, 2^738351072 is an apocalyptic number.

738351072 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 738351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144213560).

738351072 is an abundant number, since it is smaller than the sum of its proper divisors (1550076048).

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

738351072 is a wasteful number, since it uses less digits than its factorization.

738351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 738351072 is about 27172.6162155947. The cubic root of 738351072 is about 903.8318401808.

The spelling of 738351072 in words is "seven hundred thirty-eight million, three hundred fifty-one thousand, seventy-two".