73006488 has 64 divisors (see below), whose sum is σ = 209356800. Its totient is φ = 23548320.

The previous prime is 73006477. The next prime is 73006489. The reversal of 73006488 is 88460037.

73006488 is a `hidden beast` number, since 7 + 3 + 0 + 0 + 648 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73006489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245 + ... + 12147.

It is an arithmetic number, because the mean of its divisors is an integer number (3271200).

Almost surely, 2^73006488 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 73006488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104678400).

73006488 is an abundant number, since it is smaller than the sum of its proper divisors (136350312).

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

73006488 is a wasteful number, since it uses less digits than its factorization.

73006488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73006488 is about 8544.3834183632. The cubic root of 73006488 is about 417.9463008022.

The spelling of 73006488 in words is "seventy-three million, six thousand, four hundred eighty-eight".