72141905 has 16 divisors (see below), whose sum is σ = 94704768. Its totient is φ = 52320000.

The previous prime is 72141889. The next prime is 72141913. The reversal of 72141905 is 50914127.

It is not a de Polignac number, because 72141905 - 2⁴ = 72141889 is a prime.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 20420 + ... + 23690.

It is an arithmetic number, because the mean of its divisors is an integer number (5919048).

Almost surely, 2^72141905 is an apocalyptic number.

It is an amenable number.

72141905 is a deficient number, since it is larger than the sum of its proper divisors (22562863).

72141905 is a wasteful number, since it uses less digits than its factorization.

72141905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 72141905 is about 8493.6390905194. The cubic root of 72141905 is about 416.2898947835.

It can be divided in two parts, 7214 and 1905, that added together give a palindrome (9119).

The spelling of 72141905 in words is "seventy-two million, one hundred forty-one thousand, nine hundred five".