73359072 has 72 divisors (see below), whose sum is σ = 210725424. Its totient is φ = 24205824.

The previous prime is 73359047. The next prime is 73359073. The reversal of 73359072 is 27095337.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73359073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28428 + ... + 30900.

It is an arithmetic number, because the mean of its divisors is an integer number (2926742).

Almost surely, 2^73359072 is an apocalyptic number.

73359072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105362712).

73359072 is an abundant number, since it is smaller than the sum of its proper divisors (137366352).

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

73359072 is a wasteful number, since it uses less digits than its factorization.

73359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 73359072 is about 8564.9910682966. The cubic root of 73359072 is about 418.6180428653.

The spelling of 73359072 in words is "seventy-three million, three hundred fifty-nine thousand, seventy-two".