72883620 has 144 divisors (see below), whose sum is σ = 236134080. Its totient is φ = 18144000.

The previous prime is 72883597. The next prime is 72883627. The reversal of 72883620 is 2638827.

It is a happy number.

72883620 is a `hidden beast` number, since 7 + 28 + 8 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72883627) 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 47 ways as a sum of consecutive naturals, for example, 345315 + ... + 345525.

It is an arithmetic number, because the mean of its divisors is an integer number (1639820).

Almost surely, 2^72883620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72883620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118067040).

72883620 is an abundant number, since it is smaller than the sum of its proper divisors (163250460).

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

72883620 is a wasteful number, since it uses less digits than its factorization.

72883620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72883620 is about 8537.1904043426. The cubic root of 72883620 is about 417.7117049345.

It can be divided in two parts, 728 and 83620, that added together give a palindrome (84348).

The spelling of 72883620 in words is "seventy-two million, eight hundred eighty-three thousand, six hundred twenty".