72288040 has 32 divisors (see below), whose sum is σ = 177435360. Its totient is φ = 26286400.

The previous prime is 72287993. The next prime is 72288053. The reversal of 72288040 is 4088227.

It is a junction number, because it is equal to n+sod(n) for n = 72287993 and 72288011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81706 + ... + 82585.

It is an arithmetic number, because the mean of its divisors is an integer number (5544855).

Almost surely, 2^72288040 is an apocalyptic number.

It is an amenable number.

72288040 is an abundant number, since it is smaller than the sum of its proper divisors (105147320).

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

72288040 is a wasteful number, since it uses less digits than its factorization.

72288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164313 (or 164309 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 72288040 is about 8502.2373526031. The cubic root of 72288040 is about 416.5707925190.

The spelling of 72288040 in words is "seventy-two million, two hundred eighty-eight thousand, forty".