73601920 has 96 divisors (see below), whose sum is σ = 204769080. Its totient is φ = 25224192.

The previous prime is 73601911. The next prime is 73601921. The reversal of 73601920 is 2910637.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73601921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30187 + ... + 32533.

Almost surely, 2^73601920 is an apocalyptic number.

73601920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102384540).

73601920 is an abundant number, since it is smaller than the sum of its proper divisors (131167160).

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

73601920 is a wasteful number, since it uses less digits than its factorization.

73601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 73601920 is about 8579.1561356581. The cubic root of 73601920 is about 419.0794653745.

The spelling of 73601920 in words is "seventy-three million, six hundred one thousand, nine hundred twenty".