73854144 has 168 divisors, whose sum is σ = 260725920. Its totient is φ = 19464192.

The previous prime is 73854139. The next prime is 73854163. The reversal of 73854144 is 44145837.

73854144 is a `hidden beast` number, since 73 + 8 + 541 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 73854099 and 73854108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51712 + ... + 53120.

It is an arithmetic number, because the mean of its divisors is an integer number (1551940).

Almost surely, 2^73854144 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 73854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130362960).

73854144 is an abundant number, since it is smaller than the sum of its proper divisors (186871776).

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

73854144 is a wasteful number, since it uses less digits than its factorization.

73854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1434 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 73854144 is about 8593.8433776745. The cubic root of 73854144 is about 419.5576294691.

The spelling of 73854144 in words is "seventy-three million, eight hundred fifty-four thousand, one hundred forty-four".