43729083225 has 63 divisors (see below), whose sum is σ = 81351422733. Its totient is φ = 23307121440.

The previous prime is 43729083217. The next prime is 43729083239. The reversal of 43729083225 is 52238092734.

The square root of 43729083225 is 209115.

It is a perfect power (a square), and thus also a powerful number.

43729083225 is a `hidden beast` number, since 4 + 37 + 290 + 8 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3981483801 + 39747599424 = 63099^2 + 199368^2 .

It is not a de Polignac number, because 43729083225 - 2³ = 43729083217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28229751 + ... + 28231299.

Almost surely, 2^43729083225 is an apocalyptic number.

43729083225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43729083225 is the 209115-th square number.

43729083225 is the 104558-th centered octagonal number.

It is an amenable number.

43729083225 is a deficient number, since it is larger than the sum of its proper divisors (37622339508).

43729083225 is an frugal number, since it uses more digits than its factorization.

43729083225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 43729083225 in words is "forty-three billion, seven hundred twenty-nine million, eighty-three thousand, two hundred twenty-five".