73218528 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 23051520.

The previous prime is 73218511. The next prime is 73218539. The reversal of 73218528 is 82581237.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 73218492 and 73218501.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 526683 + ... + 526821.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^73218528 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 73218528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

73218528 is an abundant number, since it is smaller than the sum of its proper divisors (146928672).

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

73218528 is a wasteful number, since it uses less digits than its factorization.

73218528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 73218528 is about 8556.7825729067. The cubic root of 73218528 is about 418.3505373615.

The spelling of 73218528 in words is "seventy-three million, two hundred eighteen thousand, five hundred twenty-eight".