75356325 has 120 divisors (see below), whose sum is σ = 162043200. Its totient is φ = 34214400.

The previous prime is 75356287. The next prime is 75356327. The reversal of 75356325 is 52365357.

75356325 is a `hidden beast` number, since 75 + 3 + 563 + 25 = 666.

It is not a de Polignac number, because 75356325 - 2¹⁵ = 75323557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75356325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75356327) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 378576 + ... + 378774.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 2^75356325 is an apocalyptic number.

75356325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75356325 is an abundant number, since it is smaller than the sum of its proper divisors (86686875).

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

75356325 is a wasteful number, since it uses less digits than its factorization.

75356325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 75356325 is about 8680.8020942768. The cubic root of 75356325 is about 422.3831358679.

The spelling of 75356325 in words is "seventy-five million, three hundred fifty-six thousand, three hundred twenty-five".