73671444 has 120 divisors (see below), whose sum is σ = 240195648. Its totient is φ = 19128960.

The previous prime is 73671443. The next prime is 73671449. The reversal of 73671444 is 44417637.

It is a happy number.

It is a super-2 number, since 2×73671444² = 10854963322090272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 73671399 and 73671408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73671443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23472 + ... + 26424.

Almost surely, 2^73671444 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 73671444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120097824).

73671444 is an abundant number, since it is smaller than the sum of its proper divisors (166524204).

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

73671444 is a wasteful number, since it uses less digits than its factorization.

73671444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2976 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 73671444 is about 8583.2070929228. The cubic root of 73671444 is about 419.2113772940.

The spelling of 73671444 in words is "seventy-three million, six hundred seventy-one thousand, four hundred forty-four".