729806112 has 480 divisors, whose sum is σ = 2707689600. Its totient is φ = 188116992.

The previous prime is 729806111. The next prime is 729806113. The reversal of 729806112 is 211608927.

It is an interprime number because it is at equal distance from previous prime (729806111) and next prime (729806113).

It is a super-2 number, since 2×729806112² = 1065233922225113088, which contains 22 as substring.

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 (729806111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9997308 + ... + 9997380.

It is an arithmetic number, because the mean of its divisors is an integer number (5641020).

Almost surely, 2^729806112 is an apocalyptic number.

729806112 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 729806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353844800).

729806112 is an abundant number, since it is smaller than the sum of its proper divisors (1977883488).

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

729806112 is a wasteful number, since it uses less digits than its factorization.

729806112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 729806112 is about 27014.9238755174. The cubic root of 729806112 is about 900.3316111339.

The spelling of 729806112 in words is "seven hundred twenty-nine million, eight hundred six thousand, one hundred twelve".