72282576 has 60 divisors (see below), whose sum is σ = 193070976. Its totient is φ = 23302080.

The previous prime is 72282547. The next prime is 72282647. The reversal of 72282576 is 67528227.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45345 + ... + 46911.

Almost surely, 2^72282576 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 72282576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96535488).

72282576 is an abundant number, since it is smaller than the sum of its proper divisors (120788400).

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

72282576 is a wasteful number, since it uses less digits than its factorization.

72282576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1603 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 72282576 is about 8501.9160193453. The cubic root of 72282576 is about 416.5602965450.

The spelling of 72282576 in words is "seventy-two million, two hundred eighty-two thousand, five hundred seventy-six".