72352206720 has 1280 divisors, whose sum is σ = 299910600000. Its totient is φ = 16498556928.

The previous prime is 72352206709. The next prime is 72352206721. The reversal of 72352206720 is 2760225327.

72352206720 is a `hidden beast` number, since 72 + 3 + 522 + 0 + 67 + 2 + 0 = 666.

It is a super-2 number, since 2×72352206720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72352206721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 485585206 + ... + 485585354.

Almost surely, 2^72352206720 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 72352206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149955300000).

72352206720 is an abundant number, since it is smaller than the sum of its proper divisors (227558393280).

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

72352206720 is a wasteful number, since it uses less digits than its factorization.

72352206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 72352206720 in words is "seventy-two billion, three hundred fifty-two million, two hundred six thousand, seven hundred twenty".