73974144 has 64 divisors (see below), whose sum is σ = 206856000. Its totient is φ = 23357952.

The previous prime is 73974143. The next prime is 73974221. The reversal of 73974144 is 44147937.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73974143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2227 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (3232125).

Almost surely, 2^73974144 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 73974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103428000).

73974144 is an abundant number, since it is smaller than the sum of its proper divisors (132881856).

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

73974144 is a wasteful number, since it uses less digits than its factorization.

73974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175 (or 10163 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 73974144 is about 8600.8222862701. The cubic root of 73974144 is about 419.7847423030.

The spelling of 73974144 in words is "seventy-three million, nine hundred seventy-four thousand, one hundred forty-four".