72025140 has 96 divisors (see below), whose sum is σ = 223735680. Its totient is φ = 17164800.

The previous prime is 72025139. The next prime is 72025189. The reversal of 72025140 is 4152027.

It is a congruent number.

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, 39366 + ... + 41154.

It is an arithmetic number, because the mean of its divisors is an integer number (2330580).

Almost surely, 2^72025140 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 72025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111867840).

72025140 is an abundant number, since it is smaller than the sum of its proper divisors (151710540).

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

72025140 is a wasteful number, since it uses less digits than its factorization.

72025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72025140 is about 8486.7626336548. The cubic root of 72025140 is about 416.0651787049.

Adding to 72025140 its reverse (4152027), we get a palindrome (76177167).

The spelling of 72025140 in words is "seventy-two million, twenty-five thousand, one hundred forty".