201972075 has 24 divisors (see below), whose sum is σ = 341698368. Its totient is φ = 105211680.

The previous prime is 201972073. The next prime is 201972079. The reversal of 201972075 is 570279102.

201972075 = T₃₀₀ + T₃₀₁ + ... + T₁₀₇₃.

201972075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201972075 - 2¹ = 201972073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201972073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28089 + ... + 34538.

It is an arithmetic number, because the mean of its divisors is an integer number (14237432).

Almost surely, 2^201972075 is an apocalyptic number.

201972075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201972075 is a deficient number, since it is larger than the sum of its proper divisors (139726293).

201972075 is a wasteful number, since it uses less digits than its factorization.

201972075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62683 (or 62678 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 201972075 is about 14211.6879715254. The cubic root of 201972075 is about 586.7193918192.

The spelling of 201972075 in words is "two hundred one million, nine hundred seventy-two thousand, seventy-five".