72140420 has 96 divisors (see below), whose sum is σ = 176359680. Its totient is φ = 24527360.

The previous prime is 72140413. The next prime is 72140459. The reversal of 72140420 is 2404127.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 72140392 and 72140401.

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, 268046 + ... + 268314.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 2^72140420 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 72140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

72140420 is an abundant number, since it is smaller than the sum of its proper divisors (104219260).

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

72140420 is a wasteful number, since it uses less digits than its factorization.

72140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 72140420 is about 8493.5516717095. The cubic root of 72140420 is about 416.2870384005.

Adding to 72140420 its reverse (2404127), we get a palindrome (74544547).

The spelling of 72140420 in words is "seventy-two million, one hundred forty thousand, four hundred twenty".