75951225 has 81 divisors (see below), whose sum is σ = 160176783. Its totient is φ = 34302240.

The previous prime is 75951199. The next prime is 75951233. The reversal of 75951225 is 52215957.

The square root of 75951225 is 8715.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27342441 + 48608784 = 5229^2 + 6972^2 .

It is not a de Polignac number, because 75951225 - 2¹¹ = 75949177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75951225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 915034 + ... + 915116.

Almost surely, 2^75951225 is an apocalyptic number.

75951225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75951225 is the 8715-th square number.

75951225 is the 4358-th centered octagonal number.

It is an amenable number.

75951225 is an abundant number, since it is smaller than the sum of its proper divisors (84225558).

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

75951225 is a wasteful number, since it uses less digits than its factorization.

75951225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The cubic root of 75951225 is about 423.4917239919.

Multiplying 75951225 by its sum of digits (36), we get a square (2734244100 = 52290²).

It can be divided in two parts, 75951 and 225, that added together give a square (76176 = 276²).

The spelling of 75951225 in words is "seventy-five million, nine hundred fifty-one thousand, two hundred twenty-five".