72206080101 has 64 divisors (see below), whose sum is σ = 112363130880. Its totient is φ = 45740376000.

The previous prime is 72206080097. The next prime is 72206080103. The reversal of 72206080101 is 10108060227.

It is not a de Polignac number, because 72206080101 - 2² = 72206080097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72206080103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89032986 + ... + 89033796.

It is an arithmetic number, because the mean of its divisors is an integer number (1755673920).

Almost surely, 2^72206080101 is an apocalyptic number.

It is an amenable number.

72206080101 is a deficient number, since it is larger than the sum of its proper divisors (40157050779).

72206080101 is a wasteful number, since it uses less digits than its factorization.

72206080101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 72206080101 in words is "seventy-two billion, two hundred six million, eighty thousand, one hundred one".