73201248 has 72 divisors (see below), whose sum is σ = 209002248. Its totient is φ = 24302592.

The previous prime is 73201229. The next prime is 73201267. The reversal of 73201248 is 84210237.

It is an interprime number because it is at equal distance from previous prime (73201229) and next prime (73201267).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 124411 + ... + 124997.

It is an arithmetic number, because the mean of its divisors is an integer number (2902809).

Almost surely, 2^73201248 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 73201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104501124).

73201248 is an abundant number, since it is smaller than the sum of its proper divisors (135801000).

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

73201248 is a wasteful number, since it uses less digits than its factorization.

73201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73201248 is about 8555.7727880069. The cubic root of 73201248 is about 418.3176237159.

The spelling of 73201248 in words is "seventy-three million, two hundred one thousand, two hundred forty-eight".