72885640 has 32 divisors (see below), whose sum is σ = 165625560. Its totient is φ = 28864000.

The previous prime is 72885629. The next prime is 72885641. The reversal of 72885640 is 4658827.

It can be written as a sum of positive squares in 4 ways, for example, as 58339044 + 14546596 = 7638^2 + 3814^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 72885593 and 72885602.

It is not an unprimeable number, because it can be changed into a prime (72885641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4981 + ... + 13060.

Almost surely, 2^72885640 is an apocalyptic number.

It is an amenable number.

72885640 is an abundant number, since it is smaller than the sum of its proper divisors (92739920).

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

72885640 is a wasteful number, since it uses less digits than its factorization.

72885640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18153 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 72885640 is about 8537.3087094236. The cubic root of 72885640 is about 417.7155639171.

It can be divided in two parts, 728 and 85640, that added together give a palindrome (86368).

The spelling of 72885640 in words is "seventy-two million, eight hundred eighty-five thousand, six hundred forty".