72300288 has 72 divisors (see below), whose sum is σ = 196616448. Its totient is φ = 23575552.

The previous prime is 72300287. The next prime is 72300289. The reversal of 72300288 is 88200327.

It is an interprime number because it is at equal distance from previous prime (72300287) and next prime (72300289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72300281) 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 7 ways as a sum of consecutive naturals, for example, 35095 + ... + 37097.

It is an arithmetic number, because the mean of its divisors is an integer number (2730784).

Almost surely, 2^72300288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98308224).

72300288 is an abundant number, since it is smaller than the sum of its proper divisors (124316160).

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

72300288 is a wasteful number, since it uses less digits than its factorization.

72300288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72300288 is about 8502.9576030932. The cubic root of 72300288 is about 416.5943181762.

The spelling of 72300288 in words is "seventy-two million, three hundred thousand, two hundred eighty-eight".