73017280 has 112 divisors (see below), whose sum is σ = 204313536. Its totient is φ = 24330240.

The previous prime is 73017271. The next prime is 73017281. The reversal of 73017280 is 8271037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73017281) 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 15 ways as a sum of consecutive naturals, for example, 82440 + ... + 83320.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^73017280 is an apocalyptic number.

73017280 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 73017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102156768).

73017280 is an abundant number, since it is smaller than the sum of its proper divisors (131296256).

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

73017280 is a wasteful number, since it uses less digits than its factorization.

73017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 73017280 is about 8545.0149209934. The cubic root of 73017280 is about 417.9668937403.

The spelling of 73017280 in words is "seventy-three million, seventeen thousand, two hundred eighty".