73032872 has 32 divisors (see below), whose sum is σ = 151502400. Its totient is φ = 32726400.

The previous prime is 73032863. The next prime is 73032899. The reversal of 73032872 is 27823037.

It is a happy number.

Together with 78469528 it forms an amicable pair .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 404 + ... + 12092.

It is an arithmetic number, because the mean of its divisors is an integer number (4734450).

Almost surely, 2^73032872 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 73032872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75751200).

73032872 is an abundant number, since it is smaller than the sum of its proper divisors (78469528).

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

73032872 is a wasteful number, since it uses less digits than its factorization.

73032872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11773 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 73032872 is about 8545.9272171017. The cubic root of 73032872 is about 417.9966422965.

The spelling of 73032872 in words is "seventy-three million, thirty-two thousand, eight hundred seventy-two".