71253724920192 has 256 divisors, whose sum is σ = 218003408640000. Its totient is φ = 22884342663168.

The previous prime is 71253724920173. The next prime is 71253724920199. The reversal of 71253724920192 is 29102942735217.

71253724920192 is a `hidden beast` number, since 7 + 1 + 2 + 537 + 2 + 4 + 92 + 0 + 19 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71253724920199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47265183 + ... + 48749409.

It is an arithmetic number, because the mean of its divisors is an integer number (851575815000).

Almost surely, 2^{71253724920192} is an apocalyptic number.

71253724920192 is a gapful number since it is divisible by the number (72) 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 71253724920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109001704320000).

71253724920192 is an abundant number, since it is smaller than the sum of its proper divisors (146749683719808).

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

71253724920192 is a wasteful number, since it uses less digits than its factorization.

71253724920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484758 (or 1484740 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 71253724920192 in words is "seventy-one trillion, two hundred fifty-three billion, seven hundred twenty-four million, nine hundred twenty thousand, one hundred ninety-two".