72008174145600 has 8064 divisors, whose sum is σ = 371336932915200. Its totient is φ = 13368847564800.

The previous prime is 72008174145599. The next prime is 72008174145613. The reversal of 72008174145600 is 654147180027.

72008174145600 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 8 + 1 + 74 + 14 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 867568363159 + ... + 867568363241.

It is an arithmetic number, because the mean of its divisors is an integer number (46048726800).

Almost surely, 2^{72008174145600} is an apocalyptic number.

72008174145600 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 72008174145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185668466457600).

72008174145600 is an abundant number, since it is smaller than the sum of its proper divisors (299328758769600).

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

72008174145600 is a wasteful number, since it uses less digits than its factorization.

72008174145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 72008174145600 in words is "seventy-two trillion, eight billion, one hundred seventy-four million, one hundred forty-five thousand, six hundred".