72417288 has 32 divisors (see below), whose sum is σ = 185938560. Its totient is φ = 23486400.

The previous prime is 72417287. The next prime is 72417329. The reversal of 72417288 is 88271427.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72417287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39888 + ... + 41663.

It is an arithmetic number, because the mean of its divisors is an integer number (5810580).

Almost surely, 2^72417288 is an apocalyptic number.

It is an amenable number.

72417288 is an abundant number, since it is smaller than the sum of its proper divisors (113521272).

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

72417288 is a wasteful number, since it uses less digits than its factorization.

72417288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81597 (or 81593 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 72417288 is about 8509.8347810049. The cubic root of 72417288 is about 416.8189151000.

The spelling of 72417288 in words is "seventy-two million, four hundred seventeen thousand, two hundred eighty-eight".