73552320 has 112 divisors (see below), whose sum is σ = 259506720. Its totient is φ = 19611648.

The previous prime is 73552309. The next prime is 73552331. The reversal of 73552320 is 2325537.

It is an interprime number because it is at equal distance from previous prime (73552309) and next prime (73552331).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4384 + ... + 12896.

Almost surely, 2^73552320 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 73552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129753360).

73552320 is an abundant number, since it is smaller than the sum of its proper divisors (185954400).

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

73552320 is a wasteful number, since it uses less digits than its factorization.

73552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 73552320 is about 8576.2649212813. The cubic root of 73552320 is about 418.9853056366.

Adding to 73552320 its reverse (2325537), we get a palindrome (75877857).

The spelling of 73552320 in words is "seventy-three million, five hundred fifty-two thousand, three hundred twenty".