72681820 has 24 divisors (see below), whose sum is σ = 152854128. Its totient is φ = 29030400.

The previous prime is 72681773. The next prime is 72681823. The reversal of 72681820 is 2818627.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72681823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13980 + ... + 18460.

It is an arithmetic number, because the mean of its divisors is an integer number (6368922).

Almost surely, 2^72681820 is an apocalyptic number.

It is an amenable number.

72681820 is an abundant number, since it is smaller than the sum of its proper divisors (80172308).

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

72681820 is a wasteful number, since it uses less digits than its factorization.

72681820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 72681820 is about 8525.3633353658. The cubic root of 72681820 is about 417.3258288404.

The spelling of 72681820 in words is "seventy-two million, six hundred eighty-one thousand, eight hundred twenty".