73001988 has 36 divisors (see below), whose sum is σ = 188019468. Its totient is φ = 23874240.

The previous prime is 73001947. The next prime is 73001989. The reversal of 73001988 is 88910037.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 11410884 = 7848^2 + 3378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (73001989) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17223 + ... + 21038.

It is an arithmetic number, because the mean of its divisors is an integer number (5222763).

Almost surely, 2^73001988 is an apocalyptic number.

It is an amenable number.

73001988 is an abundant number, since it is smaller than the sum of its proper divisors (115017480).

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

73001988 is a wasteful number, since it uses less digits than its factorization.

73001988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38324 (or 38319 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 73001988 is about 8544.1200834258. The cubic root of 73001988 is about 417.9377134513.

The spelling of 73001988 in words is "seventy-three million, one thousand, nine hundred eighty-eight".