72101196 has 72 divisors (see below), whose sum is σ = 190654464. Its totient is φ = 22952160.

The previous prime is 72101191. The next prime is 72101203. The reversal of 72101196 is 69110127.

It is not an unprimeable number, because it can be changed into a prime (72101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72261 + ... + 73251.

Almost surely, 2^72101196 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 72101196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

72101196 is an abundant number, since it is smaller than the sum of its proper divisors (118553268).

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

72101196 is a wasteful number, since it uses less digits than its factorization.

72101196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 72101196 is about 8491.2423119353. The cubic root of 72101196 is about 416.2115772234.

The spelling of 72101196 in words is "seventy-two million, one hundred one thousand, one hundred ninety-six".