73281024 has 240 divisors, whose sum is σ = 238318080. Its totient is φ = 22394880.

The previous prime is 73281011. The next prime is 73281029. The reversal of 73281024 is 42018237.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73281029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363889 + ... + 2363919.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^73281024 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 73281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

73281024 is an abundant number, since it is smaller than the sum of its proper divisors (165037056).

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

73281024 is an equidigital number, since it uses as much as digits as its factorization.

73281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 55 counting only the distinct ones).

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

The square root of 73281024 is about 8560.4336338763. The cubic root of 73281024 is about 418.4695318321.

The spelling of 73281024 in words is "seventy-three million, two hundred eighty-one thousand, twenty-four".