72205680 has 40 divisors (see below), whose sum is σ = 223838352. Its totient is φ = 19254784.

The previous prime is 72205673. The next prime is 72205697. The reversal of 72205680 is 8650227.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150189 + ... + 150668.

Almost surely, 2^72205680 is an apocalyptic number.

It is an amenable number.

72205680 is an abundant number, since it is smaller than the sum of its proper divisors (151632672).

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

72205680 is a wasteful number, since it uses less digits than its factorization.

72205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300873 (or 300867 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72205680 is about 8497.3925412446. The cubic root of 72205680 is about 416.4125284023.

The spelling of 72205680 in words is "seventy-two million, two hundred five thousand, six hundred eighty".