72405167385670 has 16 divisors (see below), whose sum is σ = 148947772907808. Its totient is φ = 24824628817920.

The previous prime is 72405167385659. The next prime is 72405167385689. The reversal of 72405167385670 is 7658376150427.

It is a junction number, because it is equal to n+sod(n) for n = 72405167385599 and 72405167385608.

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 7 ways as a sum of consecutive naturals, for example, 517179766971 + ... + 517179767110.

It is an arithmetic number, because the mean of its divisors is an integer number (9309235806738).

Almost surely, 2^{72405167385670} is an apocalyptic number.

72405167385670 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72405167385670 is an abundant number, since it is smaller than the sum of its proper divisors (76542605522138).

72405167385670 is a wasteful number, since it uses less digits than its factorization.

72405167385670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034359534095.

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 72405167385670 in words is "seventy-two trillion, four hundred five billion, one hundred sixty-seven million, three hundred eighty-five thousand, six hundred seventy".