75342015225 has 81 divisors (see below), whose sum is σ = 139981527309. Its totient is φ = 38735323200.

The previous prime is 75342015223. The next prime is 75342015269. The reversal of 75342015225 is 52251024357.

The square root of 75342015225 is 274485.

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

75342015225 is a `hidden beast` number, since 7 + 5 + 3 + 420 + 1 + 5 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1035616761 + 74306398464 = 32181^2 + 272592^2 .

It is not a de Polignac number, because 75342015225 - 2¹ = 75342015223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75342015225.

It is not an unprimeable number, because it can be changed into a prime (75342015223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 119400660 + ... + 119401290.

Almost surely, 2^75342015225 is an apocalyptic number.

75342015225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75342015225 is the 274485-th square number.

75342015225 is the 137243-rd centered octagonal number.

It is an amenable number.

75342015225 is a deficient number, since it is larger than the sum of its proper divisors (64639512084).

75342015225 is an equidigital number, since it uses as much as digits as its factorization.

75342015225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Multiplying 75342015225 by its sum of digits (36), we get a square (2712312548100 = 1646910²).

The spelling of 75342015225 in words is "seventy-five billion, three hundred forty-two million, fifteen thousand, two hundred twenty-five".