72208415 has 16 divisors (see below), whose sum is σ = 88179840. Its totient is φ = 56756640.

The previous prime is 72208397. The next prime is 72208427. The reversal of 72208415 is 51480227.

It is not a de Polignac number, because 72208415 - 2²⁴ = 55431199 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73880 + ... + 74850.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2^72208415 is an apocalyptic number.

72208415 is a deficient number, since it is larger than the sum of its proper divisors (15971425).

72208415 is a wasteful number, since it uses less digits than its factorization.

72208415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 72208415 is about 8497.5534714411. The cubic root of 72208415 is about 416.4177859475.

The spelling of 72208415 in words is "seventy-two million, two hundred eight thousand, four hundred fifteen".