72197190 has 128 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 17449344.

The previous prime is 72197189. The next prime is 72197201. The reversal of 72197190 is 9179127.

It is a super-2 number, since 2×72197190² = 10424868487792200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 235017 + ... + 235323.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 2^72197190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72197190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

72197190 is an abundant number, since it is smaller than the sum of its proper divisors (138918330).

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

72197190 is a wasteful number, since it uses less digits than its factorization.

72197190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 72197190 is about 8496.8929615478. The cubic root of 72197190 is about 416.3962070596.

The spelling of 72197190 in words is "seventy-two million, one hundred ninety-seven thousand, one hundred ninety".