72157860026061 has 16 divisors (see below), whose sum is σ = 103304707648128. Its totient is φ = 44637836633600.

The previous prime is 72157860026047. The next prime is 72157860026089. The reversal of 72157860026061 is 16062006875127.

It is a cyclic number.

It is not a de Polignac number, because 72157860026061 - 2⁶ = 72157860025997 is a prime.

It is a super-2 number, since 2×72157860026061² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 72157860025995 and 72157860026013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157860026011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9963799200 + ... + 9963806441.

It is an arithmetic number, because the mean of its divisors is an integer number (6456544228008).

Almost surely, 2^{72157860026061} is an apocalyptic number.

72157860026061 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72157860026061 is a deficient number, since it is larger than the sum of its proper divisors (31146847622067).

72157860026061 is a wasteful number, since it uses less digits than its factorization.

72157860026061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19927605732.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 72157860026061 in words is "seventy-two trillion, one hundred fifty-seven billion, eight hundred sixty million, twenty-six thousand, sixty-one".