73173672 has 256 divisors, whose sum is σ = 251596800. Its totient is φ = 19388160.

The previous prime is 73173619. The next prime is 73173691. The reversal of 73173672 is 27637137.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 710373 + ... + 710475.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^73173672 is an apocalyptic number.

73173672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73173672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

73173672 is an abundant number, since it is smaller than the sum of its proper divisors (178423128).

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

73173672 is a wasteful number, since it uses less digits than its factorization.

73173672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 73173672 is about 8554.1610927080. The cubic root of 73173672 is about 418.2650882926.

The spelling of 73173672 in words is "seventy-three million, one hundred seventy-three thousand, six hundred seventy-two".