72945500355 has 192 divisors, whose sum is σ = 159826867200. Its totient is φ = 29954147328.

The previous prime is 72945500281. The next prime is 72945500363. The reversal of 72945500355 is 55300554927.

72945500355 is a `hidden beast` number, since 7 + 2 + 94 + 5 + 500 + 3 + 55 = 666.

It is not a de Polignac number, because 72945500355 - 2⁹ = 72945499843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72945500355.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61453072 + ... + 61454258.

It is an arithmetic number, because the mean of its divisors is an integer number (832431600).

Almost surely, 2^72945500355 is an apocalyptic number.

72945500355 is an abundant number, since it is smaller than the sum of its proper divisors (86881366845).

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

72945500355 is a wasteful number, since it uses less digits than its factorization.

72945500355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 72945500355 in words is "seventy-two billion, nine hundred forty-five million, five hundred thousand, three hundred fifty-five".