73444644 has 240 divisors, whose sum is σ = 245887488. Its totient is φ = 18600192.

The previous prime is 73444639. The next prime is 73444649. The reversal of 73444644 is 44644437.

73444644 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 4 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (73444639) and next prime (73444649).

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 = 73444599 and 73444608.

It is not an unprimeable number, because it can be changed into a prime (73444649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1385722 + ... + 1385774.

Almost surely, 2^73444644 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 73444644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

73444644 is an abundant number, since it is smaller than the sum of its proper divisors (172442844).

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

73444644 is a wasteful number, since it uses less digits than its factorization.

73444644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 73444644 is about 8569.9850641643. The cubic root of 73444644 is about 418.7807496837.

It can be divided in two parts, 73444 and 644, that added together give a cube (74088 = 42³).

The spelling of 73444644 in words is "seventy-three million, four hundred forty-four thousand, six hundred forty-four".