112572072001 has 2 divisors, whose sum is σ = 112572072002. Its totient is φ = 112572072000.

The previous prime is 112572071987. The next prime is 112572072017. The reversal of 112572072001 is 100270275211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107060494401 + 5511577600 = 327201^2 + 74240^2 .

It is a cyclic number.

It is not a de Polignac number, because 112572072001 - 2¹⁹ = 112571547713 is a prime.

It is not a weakly prime, because it can be changed into another prime (112572072031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56286036000 + 56286036001.

It is an arithmetic number, because the mean of its divisors is an integer number (56286036001).

Almost surely, 2^112572072001 is an apocalyptic number.

It is an amenable number.

112572072001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112572072001 is an equidigital number, since it uses as much as digits as its factorization.

112572072001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 112572072001 in words is "one hundred twelve billion, five hundred seventy-two million, seventy-two thousand, one".