73299072 has 256 divisors, whose sum is σ = 253025280. Its totient is φ = 18247680.

The previous prime is 73299071. The next prime is 73299077. The reversal of 73299072 is 27099237.

It is a super-2 number, since 2×73299072² = 10745507912122368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73299072.

It is not an unprimeable number, because it can be changed into a prime (73299071) 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 31 ways as a sum of consecutive naturals, for example, 1093983 + ... + 1094049.

It is an arithmetic number, because the mean of its divisors is an integer number (988380).

Almost surely, 2^73299072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126512640).

73299072 is an abundant number, since it is smaller than the sum of its proper divisors (179726208).

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

73299072 is a wasteful number, since it uses less digits than its factorization.

73299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 73299072 is about 8561.4877211849. The cubic root of 73299072 is about 418.5038832360.

The spelling of 73299072 in words is "seventy-three million, two hundred ninety-nine thousand, seventy-two".