73654920 has 160 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 19377792.

The previous prime is 73654871. The next prime is 73654927. The reversal of 73654920 is 2945637.

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 (73654927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411391 + ... + 411569.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 2^73654920 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 73654920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

73654920 is an abundant number, since it is smaller than the sum of its proper divisors (177250680).

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

73654920 is a wasteful number, since it uses less digits than its factorization.

73654920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 73654920 is about 8582.2444616778. The cubic root of 73654920 is about 419.1800328708.

The spelling of 73654920 in words is "seventy-three million, six hundred fifty-four thousand, nine hundred twenty".