73374444 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 20520000.

The previous prime is 73374443. The next prime is 73374449. The reversal of 73374444 is 44447337.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 73374399 and 73374408.

It is not an unprimeable number, because it can be changed into a prime (73374443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13069 + ... + 17819.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^73374444 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 73374444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

73374444 is an abundant number, since it is smaller than the sum of its proper divisors (150159636).

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

73374444 is a wasteful number, since it uses less digits than its factorization.

73374444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4780 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 73374444 is about 8565.8883952571. Note that the first 3 decimals coincide. The cubic root of 73374444 is about 418.6472805449.

It can be divided in two parts, 7337 and 4444, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 73374444 in words is "seventy-three million, three hundred seventy-four thousand, four hundred forty-four".