72359888 has 20 divisors (see below), whose sum is σ = 148444740. Its totient is φ = 34051584.

The previous prime is 72359867. The next prime is 72359897. The reversal of 72359888 is 88895327.

It can be written as a sum of positive squares in 2 ways, for example, as 61653904 + 10705984 = 7852^2 + 3272^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 132743 + ... + 133286.

It is an arithmetic number, because the mean of its divisors is an integer number (7422237).

Almost surely, 2^72359888 is an apocalyptic number.

It is an amenable number.

72359888 is an abundant number, since it is smaller than the sum of its proper divisors (76084852).

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

72359888 is a wasteful number, since it uses less digits than its factorization.

72359888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266054 (or 266048 counting only the distinct ones).

The product of its digits is 967680, while the sum is 50.

The square root of 72359888 is about 8506.4615440264. The cubic root of 72359888 is about 416.7087584855.

The spelling of 72359888 in words is "seventy-two million, three hundred fifty-nine thousand, eight hundred eighty-eight".