75466040 has 64 divisors (see below), whose sum is σ = 184766400. Its totient is φ = 27574272.

The previous prime is 75466031. The next prime is 75466063. The reversal of 75466040 is 4066457.

It is a junction number, because it is equal to n+sod(n) for n = 75465988 and 75466006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52856 + ... + 54264.

It is an arithmetic number, because the mean of its divisors is an integer number (2886975).

Almost surely, 2^75466040 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 75466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92383200).

75466040 is an abundant number, since it is smaller than the sum of its proper divisors (109300360).

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

75466040 is a wasteful number, since it uses less digits than its factorization.

75466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 75466040 is about 8687.1192002873. The cubic root of 75466040 is about 422.5880259618.

The spelling of 75466040 in words is "seventy-five million, four hundred sixty-six thousand, forty".