72281872 has 20 divisors (see below), whose sum is σ = 150819340. Its totient is φ = 33360768.

The previous prime is 72281843. The next prime is 72281873. The reversal of 72281872 is 27818227.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 63425296 = 2976^2 + 7964^2 .

It is not an unprimeable number, because it can be changed into a prime (72281873) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 173547 + ... + 173962.

It is an arithmetic number, because the mean of its divisors is an integer number (7540967).

Almost surely, 2^72281872 is an apocalyptic number.

It is an amenable number.

72281872 is an abundant number, since it is smaller than the sum of its proper divisors (78537468).

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

72281872 is a wasteful number, since it uses less digits than its factorization.

72281872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347530 (or 347524 counting only the distinct ones).

The product of its digits is 25088, while the sum is 37.

The square root of 72281872 is about 8501.8746168125. The cubic root of 72281872 is about 416.5589441703.

It can be divided in two parts, 72281 and 872, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 72281872 in words is "seventy-two million, two hundred eighty-one thousand, eight hundred seventy-two".