72194762101248 has 320 divisors, whose sum is σ = 220585065402240. Its totient is φ = 23298726297600.

The previous prime is 72194762101181. The next prime is 72194762101307. The reversal of 72194762101248 is 84210126749127.

It is a happy number.

72194762101248 is a `hidden beast` number, since 7 + 2 + 1 + 9 + 4 + 7 + 621 + 0 + 1 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72194762101194 and 72194762101203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73762536 + ... + 74734872.

It is an arithmetic number, because the mean of its divisors is an integer number (689328329382).

Almost surely, 2^{72194762101248} 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 72194762101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110292532701120).

72194762101248 is an abundant number, since it is smaller than the sum of its proper divisors (148390303300992).

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

72194762101248 is a wasteful number, since it uses less digits than its factorization.

72194762101248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972536 (or 972514 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 72194762101248 in words is "seventy-two trillion, one hundred ninety-four billion, seven hundred sixty-two million, one hundred one thousand, two hundred forty-eight".