202272096 has 96 divisors (see below), whose sum is σ = 581400288. Its totient is φ = 61194240.

The previous prime is 202272073. The next prime is 202272101. The reversal of 202272096 is 690272202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74800 + ... + 77456.

It is an arithmetic number, because the mean of its divisors is an integer number (6056253).

Almost surely, 2^202272096 is an apocalyptic number.

202272096 is a gapful number since it is divisible by the number (26) 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 202272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290700144).

202272096 is an abundant number, since it is smaller than the sum of its proper divisors (379128192).

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

202272096 is a wasteful number, since it uses less digits than its factorization.

202272096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 202272096 is about 14222.2394861006. The cubic root of 202272096 is about 587.0097637262.

The spelling of 202272096 in words is "two hundred two million, two hundred seventy-two thousand, ninety-six".