73072686960 has 240 divisors, whose sum is σ = 302034043584. Its totient is φ = 15417520128.

The previous prime is 73072686943. The next prime is 73072686991. The reversal of 73072686960 is 6968627037.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 73072686897 and 73072686906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492117 + ... + 623156.

Almost surely, 2^73072686960 is an apocalyptic number.

73072686960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73072686960 is an abundant number, since it is smaller than the sum of its proper divisors (228961356624).

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

73072686960 is a wasteful number, since it uses less digits than its factorization.

73072686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115312 (or 1115303 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 73072686960 in words is "seventy-three billion, seventy-two million, six hundred eighty-six thousand, nine hundred sixty".