72835020 has 144 divisors (see below), whose sum is σ = 234666432. Its totient is φ = 18247680.

The previous prime is 72835003. The next prime is 72835033. The reversal of 72835020 is 2053827.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302100 + ... + 302340.

It is an arithmetic number, because the mean of its divisors is an integer number (1629628).

Almost surely, 2^72835020 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 72835020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117333216).

72835020 is an abundant number, since it is smaller than the sum of its proper divisors (161831412).

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

72835020 is a wasteful number, since it uses less digits than its factorization.

72835020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72835020 is about 8534.3435599934. The cubic root of 72835020 is about 417.6188386049.

Adding to 72835020 its reverse (2053827), we get a palindrome (74888847).

The spelling of 72835020 in words is "seventy-two million, eight hundred thirty-five thousand, twenty".