73018672 has 80 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 31933440.

The previous prime is 73018667. The next prime is 73018681. The reversal of 73018672 is 27681037.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366829 + ... + 367027.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^73018672 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 73018672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

73018672 is an abundant number, since it is smaller than the sum of its proper divisors (87685328).

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

73018672 is a wasteful number, since it uses less digits than its factorization.

73018672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 73018672 is about 8545.0963716040. The cubic root of 73018672 is about 417.9695497610.

The spelling of 73018672 in words is "seventy-three million, eighteen thousand, six hundred seventy-two".