730772200 has 144 divisors (see below), whose sum is σ = 1860701220. Its totient is φ = 265973760.

The previous prime is 730772197. The next prime is 730772239. The reversal of 730772200 is 2277037.

It can be written as a sum of positive squares in 18 ways, for example, as 87946884 + 642825316 = 9378^2 + 25354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4654522 + ... + 4654678.

Almost surely, 2^730772200 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 730772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930350610).

730772200 is an abundant number, since it is smaller than the sum of its proper divisors (1129929020).

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

730772200 is a wasteful number, since it uses less digits than its factorization.

730772200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 28.

The square root of 730772200 is about 27032.7985972596. The cubic root of 730772200 is about 900.7287102316.

It can be divided in two parts, 7307 and 72200, that added together give a cube (79507 = 43³).

The spelling of 730772200 in words is "seven hundred thirty million, seven hundred seventy-two thousand, two hundred".