72662040 has 192 divisors, whose sum is σ = 262828800. Its totient is φ = 17260800.

The previous prime is 72662033. The next prime is 72662053. The reversal of 72662040 is 4026627.

It is a junction number, because it is equal to n+sod(n) for n = 72661995 and 72662013.

It is a congruent number.

It is an unprimeable number.

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, 233485 + ... + 233795.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 2^72662040 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 72662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131414400).

72662040 is an abundant number, since it is smaller than the sum of its proper divisors (190166760).

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

72662040 is a wasteful number, since it uses less digits than its factorization.

72662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

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

The square root of 72662040 is about 8524.2031885684. The cubic root of 72662040 is about 417.2879676814.

Adding to 72662040 its reverse (4026627), we get a palindrome (76688667).

The spelling of 72662040 in words is "seventy-two million, six hundred sixty-two thousand, forty".