73347120 has 480 divisors, whose sum is σ = 324979200. Its totient is φ = 15240960.

The previous prime is 73347059. The next prime is 73347133. The reversal of 73347120 is 2174337.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 6667915 + ... + 6667925.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^73347120 is an apocalyptic number.

73347120 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 73347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

73347120 is an abundant number, since it is smaller than the sum of its proper divisors (251632080).

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

73347120 is a wasteful number, since it uses less digits than its factorization.

73347120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73347120 is about 8564.2933158551. The cubic root of 73347120 is about 418.5953072333.

The spelling of 73347120 in words is "seventy-three million, three hundred forty-seven thousand, one hundred twenty".