71452192680 has 384 divisors, whose sum is σ = 270337392000. Its totient is φ = 16184033280.

The previous prime is 71452192663. The next prime is 71452192697. The reversal of 71452192680 is 8629125417.

71452192680 is a `hidden beast` number, since 7 + 1 + 452 + 192 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71452192663) and next prime (71452192697).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 5486016 + ... + 5499024.

It is an arithmetic number, because the mean of its divisors is an integer number (704003625).

Almost surely, 2^71452192680 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 71452192680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135168696000).

71452192680 is an abundant number, since it is smaller than the sum of its proper divisors (198885199320).

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

71452192680 is a wasteful number, since it uses less digits than its factorization.

71452192680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13129 (or 13122 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 71452192680 in words is "seventy-one billion, four hundred fifty-two million, one hundred ninety-two thousand, six hundred eighty".