73573120 has 72 divisors (see below), whose sum is σ = 177705360. Its totient is φ = 29184000.

The previous prime is 73573103. The next prime is 73573121. The reversal of 73573120 is 2137537.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73573121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292995 + ... + 293245.

It is an arithmetic number, because the mean of its divisors is an integer number (2468130).

Almost surely, 2^73573120 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 73573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88852680).

73573120 is an abundant number, since it is smaller than the sum of its proper divisors (104132240).

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

73573120 is a wasteful number, since it uses less digits than its factorization.

73573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 73573120 is about 8577.4774846688. The cubic root of 73573120 is about 419.0247971305.

The spelling of 73573120 in words is "seventy-three million, five hundred seventy-three thousand, one hundred twenty".