72728210 has 16 divisors (see below), whose sum is σ = 138611736. Its totient is φ = 27379968.

The previous prime is 72728207. The next prime is 72728213. The reversal of 72728210 is 1282727.

It is an interprime number because it is at equal distance from previous prime (72728207) and next prime (72728213).

It can be written as a sum of positive squares in 4 ways, for example, as 42003361 + 30724849 = 6481^2 + 5543^2 .

It is not an unprimeable number, because it can be changed into a prime (72728213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213737 + ... + 214076.

Almost surely, 2^72728210 is an apocalyptic number.

72728210 is a deficient number, since it is larger than the sum of its proper divisors (65883526).

72728210 is a wasteful number, since it uses less digits than its factorization.

72728210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427837.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 72728210 is about 8528.0836065320. The cubic root of 72728210 is about 417.4145976128.

The spelling of 72728210 in words is "seventy-two million, seven hundred twenty-eight thousand, two hundred ten".