72640260 has 192 divisors, whose sum is σ = 281917440. Its totient is φ = 15085440.

The previous prime is 72640241. The next prime is 72640283. The reversal of 72640260 is 6204627.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40707 + ... + 42453.

It is an arithmetic number, because the mean of its divisors is an integer number (1468320).

Almost surely, 2^72640260 is an apocalyptic number.

72640260 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 72640260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140958720).

72640260 is an abundant number, since it is smaller than the sum of its proper divisors (209277180).

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

72640260 is a wasteful number, since it uses less digits than its factorization.

72640260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72640260 is about 8522.9255540571. The cubic root of 72640260 is about 417.2462703469.

Adding to 72640260 its reverse (6204627), we get a palindrome (78844887).

It can be divided in two parts, 72640 and 260, that added together give a square (72900 = 270²).

The spelling of 72640260 in words is "seventy-two million, six hundred forty thousand, two hundred sixty".