72202242672 has 400 divisors, whose sum is σ = 242600996352. Its totient is φ = 20306557440.

The previous prime is 72202242667. The next prime is 72202242719. The reversal of 72202242672 is 27624220227.

72202242672 is a `hidden beast` number, since 7 + 220 + 2 + 2 + 426 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232161397 + ... + 232161707.

Almost surely, 2^72202242672 is an apocalyptic number.

72202242672 is a gapful number since it is divisible by the number (72) 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 72202242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121300498176).

72202242672 is an abundant number, since it is smaller than the sum of its proper divisors (170398753680).

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

72202242672 is a wasteful number, since it uses less digits than its factorization.

72202242672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 72202242672 its reverse (27624220227), we get a palindrome (99826462899).

The spelling of 72202242672 in words is "seventy-two billion, two hundred two million, two hundred forty-two thousand, six hundred seventy-two".