72103140 has 72 divisors (see below), whose sum is σ = 219481080. Its totient is φ = 19160064.

The previous prime is 72103139. The next prime is 72103147. The reversal of 72103140 is 4130127.

It can be written as a sum of positive squares in 4 ways, for example, as 6687396 + 65415744 = 2586^2 + 8088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72103147) 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, 70956 + ... + 71964.

Almost surely, 2^72103140 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 72103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109740540).

72103140 is an abundant number, since it is smaller than the sum of its proper divisors (147377940).

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

72103140 is a wasteful number, since it uses less digits than its factorization.

72103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72103140 is about 8491.3567820461. The cubic root of 72103140 is about 416.2153178365.

Adding to 72103140 its reverse (4130127), we get a palindrome (76233267).

The spelling of 72103140 in words is "seventy-two million, one hundred three thousand, one hundred forty".