73027189872 has 320 divisors, whose sum is σ = 261532149760. Its totient is φ = 18995337216.

The previous prime is 73027189841. The next prime is 73027189883. The reversal of 73027189872 is 27898172037.

It is a super-2 number, since 2×73027189872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2857053 + ... + 2882499.

It is an arithmetic number, because the mean of its divisors is an integer number (817287968).

Almost surely, 2^73027189872 is an apocalyptic number.

73027189872 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 73027189872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130766074880).

73027189872 is an abundant number, since it is smaller than the sum of its proper divisors (188504959888).

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

73027189872 is a wasteful number, since it uses less digits than its factorization.

73027189872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25557 (or 25545 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 73027189872 in words is "seventy-three billion, twenty-seven million, one hundred eighty-nine thousand, eight hundred seventy-two".