73029180 has 192 divisors, whose sum is σ = 247726080. Its totient is φ = 15724800.

The previous prime is 73029169. The next prime is 73029181. The reversal of 73029180 is 8192037.

It is a happy number.

It is a super-2 number, since 2×73029180² = 10666522262944800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73029181) by changing a digit.

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, 924381 + ... + 924459.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 2^73029180 is an apocalyptic number.

73029180 is a gapful number since it is divisible by the number (70) 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 73029180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123863040).

73029180 is an abundant number, since it is smaller than the sum of its proper divisors (174696900).

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

73029180 is a wasteful number, since it uses less digits than its factorization.

73029180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 73029180 is about 8545.7112050431. The cubic root of 73029180 is about 417.9895985751.

The spelling of 73029180 in words is "seventy-three million, twenty-nine thousand, one hundred eighty".