72835500 has 96 divisors (see below), whose sum is σ = 215953920. Its totient is φ = 19070400.

The previous prime is 72835487. The next prime is 72835513. The reversal of 72835500 is 553827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72835487) and next prime (72835513).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 88089 + ... + 88911.

It is an arithmetic number, because the mean of its divisors is an integer number (2249520).

Almost surely, 2^72835500 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 72835500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976960).

72835500 is an abundant number, since it is smaller than the sum of its proper divisors (143118420).

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

72835500 is a wasteful number, since it uses less digits than its factorization.

72835500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72835500 is about 8534.3716816178. The cubic root of 72835500 is about 417.6197560052.

The spelling of 72835500 in words is "seventy-two million, eight hundred thirty-five thousand, five hundred".