72100201272 has 96 divisors (see below), whose sum is σ = 198865270800. Its totient is φ = 21767088640.

The previous prime is 72100201267. The next prime is 72100201289. The reversal of 72100201272 is 27210200127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735028 + ... + 827324.

Almost surely, 2^72100201272 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 72100201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99432635400).

72100201272 is an abundant number, since it is smaller than the sum of its proper divisors (126765069528).

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

72100201272 is a wasteful number, since it uses less digits than its factorization.

72100201272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92597 (or 92582 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 72100201272 its reverse (27210200127), we get a palindrome (99310401399).

It can be divided in two parts, 72100 and 201272, that added together give a palindrome (273372).

The spelling of 72100201272 in words is "seventy-two billion, one hundred million, two hundred one thousand, two hundred seventy-two".