72199140 has 96 divisors (see below), whose sum is σ = 219507456. Its totient is φ = 17625600.

The previous prime is 72199129. The next prime is 72199151. The reversal of 72199140 is 4199127.

It is an interprime number because it is at equal distance from previous prime (72199129) and next prime (72199151).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117474 + ... + 118086.

It is an arithmetic number, because the mean of its divisors is an integer number (2286536).

Almost surely, 2^72199140 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 72199140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109753728).

72199140 is an abundant number, since it is smaller than the sum of its proper divisors (147308316).

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

72199140 is a wasteful number, since it uses less digits than its factorization.

72199140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 72199140 is about 8497.0077085995. The cubic root of 72199140 is about 416.3999558911.

The spelling of 72199140 in words is "seventy-two million, one hundred ninety-nine thousand, one hundred forty".