72833640 has 128 divisors (see below), whose sum is σ = 248832000. Its totient is φ = 16881920.

The previous prime is 72833639. The next prime is 72833641. The reversal of 72833640 is 4633827.

It is an interprime number because it is at equal distance from previous prime (72833639) and next prime (72833641).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72833641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29161 + ... + 31559.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^72833640 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 72833640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

72833640 is an abundant number, since it is smaller than the sum of its proper divisors (175998360).

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

72833640 is a wasteful number, since it uses less digits than its factorization.

72833640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72833640 is about 8534.2627098069. The cubic root of 72833640 is about 417.6162010567.

The spelling of 72833640 in words is "seventy-two million, eight hundred thirty-three thousand, six hundred forty".