78375248172 has 144 divisors (see below), whose sum is σ = 233193123072. Its totient is φ = 21964677120.

The previous prime is 78375248099. The next prime is 78375248177. The reversal of 78375248172 is 27184257387.

78375248172 is a `hidden beast` number, since 7 + 8 + 37 + 524 + 81 + 7 + 2 = 666.

It is a super-2 number, since 2×78375248172² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78375248177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87748 + ... + 405524.

It is an arithmetic number, because the mean of its divisors is an integer number (1619396688).

Almost surely, 2^78375248172 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 78375248172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116596561536).

78375248172 is an abundant number, since it is smaller than the sum of its proper divisors (154817874900).

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

78375248172 is a wasteful number, since it uses less digits than its factorization.

78375248172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317848 (or 317843 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 78375248172 in words is "seventy-eight billion, three hundred seventy-five million, two hundred forty-eight thousand, one hundred seventy-two".