73852560 has 240 divisors, whose sum is σ = 268107840. Its totient is φ = 18869760.

The previous prime is 73852553. The next prime is 73852561. The reversal of 73852560 is 6525837.

73852560 is a `hidden beast` number, since 73 + 8 + 525 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (73852561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563695 + ... + 563825.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^73852560 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 73852560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

73852560 is an abundant number, since it is smaller than the sum of its proper divisors (194255280).

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

73852560 is a wasteful number, since it uses less digits than its factorization.

73852560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 73852560 is about 8593.7512181817. The cubic root of 73852560 is about 419.5546299351.

The spelling of 73852560 in words is "seventy-three million, eight hundred fifty-two thousand, five hundred sixty".