72077327162001 has 72 divisors (see below), whose sum is σ = 123730547001984. Its totient is φ = 40296310246080.

The previous prime is 72077327161963. The next prime is 72077327162023. The reversal of 72077327162001 is 10026172377027.

It is not a de Polignac number, because 72077327162001 - 2⁶ = 72077327161937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72077327162051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57477471 + ... + 58718091.

It is an arithmetic number, because the mean of its divisors is an integer number (1718479819472).

Almost surely, 2^{72077327162001} is an apocalyptic number.

It is an amenable number.

72077327162001 is a deficient number, since it is larger than the sum of its proper divisors (51653219839983).

72077327162001 is a wasteful number, since it uses less digits than its factorization.

72077327162001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243491 (or 1243481 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 72077327162001 in words is "seventy-two trillion, seventy-seven billion, three hundred twenty-seven million, one hundred sixty-two thousand, one".