72006288 has 80 divisors (see below), whose sum is σ = 199630080. Its totient is φ = 22284288.

The previous prime is 72006287. The next prime is 72006293. The reversal of 72006288 is 88260027.

It is not an unprimeable number, because it can be changed into a prime (72006281) 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 15 ways as a sum of consecutive naturals, for example, 63906 + ... + 65022.

It is an arithmetic number, because the mean of its divisors is an integer number (2495376).

Almost surely, 2^72006288 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 72006288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99815040).

72006288 is an abundant number, since it is smaller than the sum of its proper divisors (127623792).

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

72006288 is a wasteful number, since it uses less digits than its factorization.

72006288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 72006288 is about 8485.6518901025. The cubic root of 72006288 is about 416.0288749681.

The spelling of 72006288 in words is "seventy-two million, six thousand, two hundred eighty-eight".