201772560 has 160 divisors (see below), whose sum is σ = 712240128. Its totient is φ = 46773760.

The previous prime is 201772553. The next prime is 201772561. The reversal of 201772560 is 65277102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (201772561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59059 + ... + 62381.

Almost surely, 2^201772560 is an apocalyptic number.

201772560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356120064).

201772560 is an abundant number, since it is smaller than the sum of its proper divisors (510467568).

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

201772560 is a wasteful number, since it uses less digits than its factorization.

201772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 201772560 is about 14204.6668387541. Note that the first 3 decimals coincide. The cubic root of 201772560 is about 586.5261342683.

The spelling of 201772560 in words is "two hundred one million, seven hundred seventy-two thousand, five hundred sixty".