205020972 has 72 divisors (see below), whose sum is σ = 560458080. Its totient is φ = 62818560.

The previous prime is 205020971. The next prime is 205020973. The reversal of 205020972 is 279020502.

It is a happy number.

205020972 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 (205020971) and next prime (205020973).

It is not an unprimeable number, because it can be changed into a prime (205020971) 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, 130729 + ... + 132287.

It is an arithmetic number, because the mean of its divisors is an integer number (7784140).

Almost surely, 2^205020972 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 205020972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280229040).

205020972 is an abundant number, since it is smaller than the sum of its proper divisors (355437108).

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

205020972 is a wasteful number, since it uses less digits than its factorization.

205020972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 205020972 is about 14318.5534185545. The cubic root of 205020972 is about 589.6569604075.

The spelling of 205020972 in words is "two hundred five million, twenty thousand, nine hundred seventy-two".