75257406 has 48 divisors (see below), whose sum is σ = 187858944. Its totient is φ = 21328272.

The previous prime is 75257393. The next prime is 75257411. The reversal of 75257406 is 60475257.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13651 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (3913728).

Almost surely, 2^75257406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75257406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472).

75257406 is an abundant number, since it is smaller than the sum of its proper divisors (112601538).

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

75257406 is a wasteful number, since it uses less digits than its factorization.

75257406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 75257406 is about 8675.1026506895. The cubic root of 75257406 is about 422.1982364901.

The spelling of 75257406 in words is "seventy-five million, two hundred fifty-seven thousand, four hundred six".