73122944 has 64 divisors (see below), whose sum is σ = 155325600. Its totient is φ = 34191360.

The previous prime is 73122943. The next prime is 73122947. The reversal of 73122944 is 44922137.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 73122944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73122943) 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, 260084 + ... + 260364.

Almost surely, 2^73122944 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 73122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77662800).

73122944 is an abundant number, since it is smaller than the sum of its proper divisors (82202656).

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

73122944 is a wasteful number, since it uses less digits than its factorization.

73122944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 73122944 is about 8551.1954719793. The cubic root of 73122944 is about 418.1684111873.

The spelling of 73122944 in words is "seventy-three million, one hundred twenty-two thousand, nine hundred forty-four".