73208016 has 160 divisors (see below), whose sum is σ = 246174720. Its totient is φ = 20393856.

The previous prime is 73207993. The next prime is 73208033. The reversal of 73208016 is 61080237.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129751 + ... + 130313.

It is an arithmetic number, because the mean of its divisors is an integer number (1538592).

Almost surely, 2^73208016 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 73208016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123087360).

73208016 is an abundant number, since it is smaller than the sum of its proper divisors (172966704).

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

73208016 is a wasteful number, since it uses less digits than its factorization.

73208016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73208016 is about 8556.1683012900. The cubic root of 73208016 is about 418.3305155108.

It can be divided in two parts, 7 and 3208016, that added together give a palindrome (3208023).

The spelling of 73208016 in words is "seventy-three million, two hundred eight thousand, sixteen".