73875032 has 64 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 28103040.

The previous prime is 73875031. The next prime is 73875037. The reversal of 73875032 is 23057837.

It is a junction number, because it is equal to n+sod(n) for n = 73874983 and 73875001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73875031) 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, 25094 + ... + 27882.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2^73875032 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 73875032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

73875032 is an abundant number, since it is smaller than the sum of its proper divisors (102899368).

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

73875032 is a wasteful number, since it uses less digits than its factorization.

73875032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 73875032 is about 8595.0585803705. The cubic root of 73875032 is about 419.5971799182.

The spelling of 73875032 in words is "seventy-three million, eight hundred seventy-five thousand, thirty-two".