72056468 has 36 divisors (see below), whose sum is σ = 141269940. Its totient is φ = 32134960.

The previous prime is 72056381. The next prime is 72056473. The reversal of 72056468 is 86465027.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 32467204 + 39589264 = 5698^2 + 6292^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359530 + ... + 1359582.

It is an arithmetic number, because the mean of its divisors is an integer number (3924165).

Almost surely, 2^72056468 is an apocalyptic number.

It is an amenable number.

72056468 is a deficient number, since it is larger than the sum of its proper divisors (69213472).

72056468 is an equidigital number, since it uses as much as digits as its factorization.

72056468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 72056468 is about 8488.6081309011. The cubic root of 72056468 is about 416.1254937586.

The spelling of 72056468 in words is "seventy-two million, fifty-six thousand, four hundred sixty-eight".