72879159 has 16 divisors (see below), whose sum is σ = 101073920. Its totient is φ = 46668960.

The previous prime is 72879151. The next prime is 72879179. The reversal of 72879159 is 95197827.

It is not a de Polignac number, because 72879159 - 2³ = 72879151 is a prime.

It is a super-3 number, since 3×72879159³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72879151) by changing a digit.

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, 4614 + ... + 12924.

It is an arithmetic number, because the mean of its divisors is an integer number (6317120).

Almost surely, 2^72879159 is an apocalyptic number.

72879159 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

72879159 is a deficient number, since it is larger than the sum of its proper divisors (28194761).

72879159 is a wasteful number, since it uses less digits than its factorization.

72879159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430.

The product of its digits is 317520, while the sum is 48.

The square root of 72879159 is about 8536.9291317194. The cubic root of 72879159 is about 417.7031824438.

The spelling of 72879159 in words is "seventy-two million, eight hundred seventy-nine thousand, one hundred fifty-nine".