73665152 has 64 divisors (see below), whose sum is σ = 161861760. Its totient is φ = 33116160.

The previous prime is 73665139. The next prime is 73665157. The reversal of 73665152 is 25156637.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (73665157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158873 + ... + 159335.

It is an arithmetic number, because the mean of its divisors is an integer number (2529090).

Almost surely, 2^73665152 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 73665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80930880).

73665152 is an abundant number, since it is smaller than the sum of its proper divisors (88196608).

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

73665152 is a wasteful number, since it uses less digits than its factorization.

73665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its digits is 37800, while the sum is 35.

The square root of 73665152 is about 8582.8405554338. The cubic root of 73665152 is about 419.1994425337.

The spelling of 73665152 in words is "seventy-three million, six hundred sixty-five thousand, one hundred fifty-two".