201672072 has 128 divisors (see below), whose sum is σ = 648345600. Its totient is φ = 56890944.

The previous prime is 201672047. The next prime is 201672101. The reversal of 201672072 is 270276102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124693 + ... + 126299.

It is an arithmetic number, because the mean of its divisors is an integer number (5065200).

Almost surely, 2^201672072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201672072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324172800).

201672072 is an abundant number, since it is smaller than the sum of its proper divisors (446673528).

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

201672072 is a wasteful number, since it uses less digits than its factorization.

201672072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 201672072 is about 14201.1292508730. The cubic root of 201672072 is about 586.4287496599.

It can be divided in two parts, 2016 and 72072, that added together give a cube (74088 = 42³).

The spelling of 201672072 in words is "two hundred one million, six hundred seventy-two thousand, seventy-two".