202272120 has 256 divisors, whose sum is σ = 746496000. Its totient is φ = 48457728.

The previous prime is 202272101. The next prime is 202272127. The reversal of 202272120 is 21272202.

It is a happy number.

202272120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202272093 and 202272102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202272127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422041 + ... + 422519.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^202272120 is an apocalyptic number.

202272120 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 202272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373248000).

202272120 is an abundant number, since it is smaller than the sum of its proper divisors (544223880).

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

202272120 is a wasteful number, since it uses less digits than its factorization.

202272120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 202272120 is about 14222.2403298496. The cubic root of 202272120 is about 587.0097869428.

The spelling of 202272120 in words is "two hundred two million, two hundred seventy-two thousand, one hundred twenty".