72883356 has 96 divisors (see below), whose sum is σ = 216158208. Its totient is φ = 18593280.

The previous prime is 72883333. The next prime is 72883357. The reversal of 72883356 is 65338827.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72883357) 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 31 ways as a sum of consecutive naturals, for example, 32776 + ... + 34928.

It is an arithmetic number, because the mean of its divisors is an integer number (2251648).

Almost surely, 2^72883356 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 72883356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108079104).

72883356 is an abundant number, since it is smaller than the sum of its proper divisors (143274852).

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

72883356 is a wasteful number, since it uses less digits than its factorization.

72883356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2209 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 72883356 is about 8537.1749425674. The cubic root of 72883356 is about 417.7112005870.

The spelling of 72883356 in words is "seventy-two million, eight hundred eighty-three thousand, three hundred fifty-six".