72340017057 has 64 divisors (see below), whose sum is σ = 141474816000. Its totient is φ = 35368669440.

The previous prime is 72340017041. The next prime is 72340017067. The reversal of 72340017057 is 75071004327.

It is not a de Polignac number, because 72340017057 - 2⁴ = 72340017041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72340017067) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 988057 + ... + 1058742.

It is an arithmetic number, because the mean of its divisors is an integer number (2210544000).

Almost surely, 2^72340017057 is an apocalyptic number.

72340017057 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72340017057 is a deficient number, since it is larger than the sum of its proper divisors (69134798943).

72340017057 is a wasteful number, since it uses less digits than its factorization.

72340017057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046843 (or 2046837 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 72340017057 in words is "seventy-two billion, three hundred forty million, seventeen thousand, fifty-seven".