72088305 has 16 divisors (see below), whose sum is σ = 115482240. Its totient is φ = 38400128.

The previous prime is 72088283. The next prime is 72088343. The reversal of 72088305 is 50388027.

It is a cyclic number.

It is not a de Polignac number, because 72088305 - 2⁶ = 72088241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12301 + ... + 17189.

It is an arithmetic number, because the mean of its divisors is an integer number (7217640).

Almost surely, 2^72088305 is an apocalyptic number.

It is an amenable number.

72088305 is a deficient number, since it is larger than the sum of its proper divisors (43393935).

72088305 is a wasteful number, since it uses less digits than its factorization.

72088305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72088305 is about 8490.4832017972. The cubic root of 72088305 is about 416.1867708700.

The spelling of 72088305 in words is "seventy-two million, eighty-eight thousand, three hundred five".