201772725 has 48 divisors (see below), whose sum is σ = 415925760. Its totient is φ = 83851200.

The previous prime is 201772717. The next prime is 201772733. The reversal of 201772725 is 527277102.

201772725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201772717) and next prime (201772733).

It is not a de Polignac number, because 201772725 - 2³ = 201772717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11695 + ... + 23244.

It is an arithmetic number, because the mean of its divisors is an integer number (8665120).

Almost surely, 2^201772725 is an apocalyptic number.

201772725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201772725 is an abundant number, since it is smaller than the sum of its proper divisors (214153035).

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

201772725 is a wasteful number, since it uses less digits than its factorization.

201772725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34970 (or 34965 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 201772725 is about 14204.6726467033. The cubic root of 201772725 is about 586.5262941460.

The spelling of 201772725 in words is "two hundred one million, seven hundred seventy-two thousand, seven hundred twenty-five".