732974112 has 144 divisors (see below), whose sum is σ = 2262700440. Its totient is φ = 223727616.

The previous prime is 732974111. The next prime is 732974141. The reversal of 732974112 is 211479237.

It can be written as a sum of positive squares in 4 ways, for example, as 351787536 + 381186576 = 18756^2 + 19524^2 .

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

It is a super-3 number, since 3×732974112³ (a number of 28 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (732974111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512214 + ... + 513642.

Almost surely, 2^732974112 is an apocalyptic number.

732974112 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 732974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131350220).

732974112 is an abundant number, since it is smaller than the sum of its proper divisors (1529726328).

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

732974112 is a wasteful number, since it uses less digits than its factorization.

732974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 732974112 is about 27073.4946395917. The cubic root of 732974112 is about 901.6324741668.

The spelling of 732974112 in words is "seven hundred thirty-two million, nine hundred seventy-four thousand, one hundred twelve".