72026640 has 240 divisors, whose sum is σ = 285981696. Its totient is φ = 15897600.

The previous prime is 72026611. The next prime is 72026659. The reversal of 72026640 is 4662027.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156010 + ... + 156470.

Almost surely, 2^72026640 is an apocalyptic number.

72026640 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 72026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

72026640 is an abundant number, since it is smaller than the sum of its proper divisors (213955056).

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

72026640 is a wasteful number, since it uses less digits than its factorization.

72026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

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

The square root of 72026640 is about 8486.8510061153. The cubic root of 72026640 is about 416.0680670179.

Adding to 72026640 its reverse (4662027), we get a palindrome (76688667).

The spelling of 72026640 in words is "seventy-two million, twenty-six thousand, six hundred forty".