73006752 has 192 divisors, whose sum is σ = 241484544. Its totient is φ = 18800640.

The previous prime is 73006741. The next prime is 73006753. The reversal of 73006752 is 25760037.

It is not an unprimeable number, because it can be changed into a prime (73006753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532828 + ... + 532964.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732).

Almost surely, 2^73006752 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 73006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272).

73006752 is an abundant number, since it is smaller than the sum of its proper divisors (168477792).

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

73006752 is a wasteful number, since it uses less digits than its factorization.

73006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 73006752 is about 8544.3988670942. The cubic root of 73006752 is about 417.9468045825.

Adding to 73006752 its reverse (25760037), we get a palindrome (98766789).

The spelling of 73006752 in words is "seventy-three million, six thousand, seven hundred fifty-two".