736988112 has 320 divisors, whose sum is σ = 2590310400. Its totient is φ = 195955200.

The previous prime is 736988101. The next prime is 736988117. The reversal of 736988112 is 211889637.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736988117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5802993 + ... + 5803119.

It is an arithmetic number, because the mean of its divisors is an integer number (8094720).

Almost surely, 2^736988112 is an apocalyptic number.

736988112 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 736988112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295155200).

736988112 is an abundant number, since it is smaller than the sum of its proper divisors (1853322288).

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

736988112 is a wasteful number, since it uses less digits than its factorization.

736988112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 736988112 is about 27147.5249700594. The cubic root of 736988112 is about 903.2753544877.

It can be divided in two parts, 73698 and 8112, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 736988112 in words is "seven hundred thirty-six million, nine hundred eighty-eight thousand, one hundred twelve".