73032960 has 576 divisors, whose sum is σ = 329656320. Its totient is φ = 13271040.

The previous prime is 73032913. The next prime is 73032997. The reversal of 73032960 is 6923037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843831 + ... + 3843849.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^73032960 is an apocalyptic number.

73032960 is a gapful number since it is divisible by the number (70) 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 73032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

73032960 is an abundant number, since it is smaller than the sum of its proper divisors (256623360).

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

73032960 is a wasteful number, since it uses less digits than its factorization.

73032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 73032960 is about 8545.9323657516. The cubic root of 73032960 is about 417.9968101830.

Adding to 73032960 its reverse (6923037), we get a palindrome (79955997).

The spelling of 73032960 in words is "seventy-three million, thirty-two thousand, nine hundred sixty".