72153140 has 48 divisors (see below), whose sum is σ = 158070528. Its totient is φ = 27640704.

The previous prime is 72153121. The next prime is 72153143. The reversal of 72153140 is 4135127.

It is a super-2 number, since 2×72153140² = 10412151223719200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44789 + ... + 46371.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^72153140 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 72153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035264).

72153140 is an abundant number, since it is smaller than the sum of its proper divisors (85917388).

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

72153140 is a wasteful number, since it uses less digits than its factorization.

72153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 72153140 is about 8494.3004420611. The cubic root of 72153140 is about 416.3115039264.

Adding to 72153140 its reverse (4135127), we get a palindrome (76288267).

The spelling of 72153140 in words is "seventy-two million, one hundred fifty-three thousand, one hundred forty".