73030752 has 72 divisors (see below), whose sum is σ = 208746720. Its totient is φ = 24218880.

The previous prime is 73030751. The next prime is 73030753. The reversal of 73030752 is 25703037.

It is an interprime number because it is at equal distance from previous prime (73030751) and next prime (73030753).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73030751) 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 11 ways as a sum of consecutive naturals, for example, 68302 + ... + 69362.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 2^73030752 is an apocalyptic number.

73030752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73030752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104373360).

73030752 is an abundant number, since it is smaller than the sum of its proper divisors (135715968).

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

73030752 is a wasteful number, since it uses less digits than its factorization.

73030752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 73030752 is about 8545.8031805091. The cubic root of 73030752 is about 417.9925977185.

Adding to 73030752 its reverse (25703037), we get a palindrome (98733789).

The spelling of 73030752 in words is "seventy-three million, thirty thousand, seven hundred fifty-two".