72005392 has 20 divisors (see below), whose sum is σ = 142756240. Its totient is φ = 35165088.

The previous prime is 72005371. The next prime is 72005393. The reversal of 72005392 is 29350027.

It is a self number, because there is not a number n which added to its sum of digits gives 72005392.

It is not an unprimeable number, because it can be changed into a prime (72005393) 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, 51642 + ... + 53017.

It is an arithmetic number, because the mean of its divisors is an integer number (7137812).

Almost surely, 2^72005392 is an apocalyptic number.

It is an amenable number.

72005392 is a deficient number, since it is larger than the sum of its proper divisors (70750848).

72005392 is a wasteful number, since it uses less digits than its factorization.

72005392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104710 (or 104704 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 72005392 is about 8485.5990949373. The cubic root of 72005392 is about 416.0271493622.

The spelling of 72005392 in words is "seventy-two million, five thousand, three hundred ninety-two".