72005288 has 16 divisors (see below), whose sum is σ = 142116000. Its totient is φ = 34107696.

The previous prime is 72005287. The next prime is 72005299. The reversal of 72005288 is 88250027.

It is a super-2 number, since 2×72005288² = 10369522999925888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72005287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236708 + ... + 237011.

It is an arithmetic number, because the mean of its divisors is an integer number (8882250).

Almost surely, 2^72005288 is an apocalyptic number.

It is an amenable number.

72005288 is a deficient number, since it is larger than the sum of its proper divisors (70110712).

72005288 is a wasteful number, since it uses less digits than its factorization.

72005288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473744 (or 473740 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 72005288 is about 8485.5929669057. The cubic root of 72005288 is about 416.0269490678.

The spelling of 72005288 in words is "seventy-two million, five thousand, two hundred eighty-eight".