72160042167450 has 96 divisors (see below), whose sum is σ = 198853317662400. Its totient is φ = 19241486372160.

The previous prime is 72160042167443. The next prime is 72160042167469. The reversal of 72160042167450 is 5476124006127.

72160042167450 is a `hidden beast` number, since 7 + 2 + 160 + 0 + 421 + 67 + 4 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72160042167396 and 72160042167405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20262349 + ... + 23555951.

It is an arithmetic number, because the mean of its divisors is an integer number (2071388725650).

Almost surely, 2^{72160042167450} is an apocalyptic number.

72160042167450 is an abundant number, since it is smaller than the sum of its proper divisors (126693275494950).

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

72160042167450 is a wasteful number, since it uses less digits than its factorization.

72160042167450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309853 (or 3309842 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72160042167450 in words is "seventy-two trillion, one hundred sixty billion, forty-two million, one hundred sixty-seven thousand, four hundred fifty".