72372305 has 8 divisors (see below), whose sum is σ = 87481512. Its totient is φ = 57474688.

The previous prime is 72372299. The next prime is 72372317. The reversal of 72372305 is 50327327.

72372305 is nontrivially palindromic in base 2 and base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 54289 + 72318016 = 233^2 + 8504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72372305 - 2⁶ = 72372241 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52142 + ... + 53511.

It is an arithmetic number, because the mean of its divisors is an integer number (10935189).

Almost surely, 2^72372305 is an apocalyptic number.

It is an amenable number.

72372305 is a deficient number, since it is larger than the sum of its proper divisors (15109207).

72372305 is a wasteful number, since it uses less digits than its factorization.

72372305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105795.

The product of its (nonzero) digits is 8820, while the sum is 29.

The square root of 72372305 is about 8507.1913696590. The cubic root of 72372305 is about 416.7325929462.

The spelling of 72372305 in words is "seventy-two million, three hundred seventy-two thousand, three hundred five".