72197910 has 48 divisors (see below), whose sum is σ = 197598960. Its totient is φ = 18239040.

The previous prime is 72197893. The next prime is 72197911. The reversal of 72197910 is 1979127.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72197911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19401 + ... + 22820.

It is an arithmetic number, because the mean of its divisors is an integer number (4116645).

Almost surely, 2^72197910 is an apocalyptic number.

72197910 is an abundant number, since it is smaller than the sum of its proper divisors (125401050).

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

72197910 is a wasteful number, since it uses less digits than its factorization.

72197910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42253 (or 42250 counting only the distinct ones).

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

The square root of 72197910 is about 8496.9353298704. The cubic root of 72197910 is about 416.3975912514.

It can be divided in two parts, 7219 and 7910, that added together give a square (15129 = 123²).

The spelling of 72197910 in words is "seventy-two million, one hundred ninety-seven thousand, nine hundred ten".