72520140 has 144 divisors (see below), whose sum is σ = 255257856. Its totient is φ = 15058560.

The previous prime is 72520117. The next prime is 72520141. The reversal of 72520140 is 4102527.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (72520141) 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 47 ways as a sum of consecutive naturals, for example, 50107 + ... + 51533.

It is an arithmetic number, because the mean of its divisors is an integer number (1772624).

Almost surely, 2^72520140 is an apocalyptic number.

72520140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72520140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127628928).

72520140 is an abundant number, since it is smaller than the sum of its proper divisors (182737716).

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

72520140 is a wasteful number, since it uses less digits than its factorization.

72520140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1455 counting only the distinct ones).

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

The square root of 72520140 is about 8515.8757623629. The cubic root of 72520140 is about 417.0161533575.

Adding to 72520140 its reverse (4102527), we get a palindrome (76622667).

The spelling of 72520140 in words is "seventy-two million, five hundred twenty thousand, one hundred forty".