72208405 has 8 divisors (see below), whose sum is σ = 89638200. Its totient is φ = 55774656.

The previous prime is 72208397. The next prime is 72208427. The reversal of 72208405 is 50480227.

It can be written as a sum of positive squares in 4 ways, for example, as 8814961 + 63393444 = 2969^2 + 7962^2 .

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

It is not a de Polignac number, because 72208405 - 2³ = 72208397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248850 + ... + 249139.

It is an arithmetic number, because the mean of its divisors is an integer number (11204775).

Almost surely, 2^72208405 is an apocalyptic number.

It is an amenable number.

72208405 is a deficient number, since it is larger than the sum of its proper divisors (17429795).

72208405 is a wasteful number, since it uses less digits than its factorization.

72208405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498023.

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 72208405 is about 8497.5528830364. The cubic root of 72208405 is about 416.4177667245.

It can be divided in two parts, 7220 and 8405, that multiplied together give a square (60684100 = 7790²).

The spelling of 72208405 in words is "seventy-two million, two hundred eight thousand, four hundred five".