72350625600 has 588 divisors, whose sum is σ = 291236582880. Its totient is φ = 17536435200.

The previous prime is 72350625547. The next prime is 72350625649. The reversal of 72350625600 is 652605327.

It is a happy number.

72350625600 is a `hidden beast` number, since 7 + 2 + 35 + 0 + 62 + 560 + 0 = 666.

It is a super-2 number, since 2×72350625600² (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 an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12827581 + ... + 12833219.

Almost surely, 2^72350625600 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 72350625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145618291440).

72350625600 is an abundant number, since it is smaller than the sum of its proper divisors (218885957280).

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

72350625600 is a wasteful number, since it uses less digits than its factorization.

72350625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 72350625600 in words is "seventy-two billion, three hundred fifty million, six hundred twenty-five thousand, six hundred".