72179072 has 32 divisors (see below), whose sum is σ = 164338320. Its totient is φ = 30933504.

The previous prime is 72179071. The next prime is 72179113. The reversal of 72179072 is 27097127.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72179071) 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 3 ways as a sum of consecutive naturals, for example, 39383 + ... + 41174.

Almost surely, 2^72179072 is an apocalyptic number.

It is an amenable number.

72179072 is an abundant number, since it is smaller than the sum of its proper divisors (92159248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72179072 is an equidigital number, since it uses as much as digits as its factorization.

72179072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80578 (or 80566 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 72179072 is about 8495.8267402296. The cubic root of 72179072 is about 416.3613723814.

The spelling of 72179072 in words is "seventy-two million, one hundred seventy-nine thousand, seventy-two".