73570 has 16 divisors (see below), whose sum is σ = 151488. Its totient is φ = 25200.

The previous prime is 73561. The next prime is 73571. The reversal of 73570 is 7537.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (73571) 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, 456 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (9468).

2⁷³⁵⁷⁰ is an apocalyptic number.

73570 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73570 is an abundant number, since it is smaller than the sum of its proper divisors (77918).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75744).

73570 is a wasteful number, since it uses less digits than its factorization.

73570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 73570 is about 271.2379029561. The cubic root of 73570 is about 41.9018873881.

Adding to 73570 its product of nonzero digits (735), we get a triangular number (74305 = T₃₈₅).

The spelling of 73570 in words is "seventy-three thousand, five hundred seventy".