72271642746 has 32 divisors (see below), whose sum is σ = 145920012480. Its totient is φ = 23861246976.

The previous prime is 72271642727. The next prime is 72271642757. The reversal of 72271642746 is 64724617227.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72271642695 and 72271642704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2033985 + ... + 2069211.

It is an arithmetic number, because the mean of its divisors is an integer number (4560000390).

Almost surely, 2^72271642746 is an apocalyptic number.

72271642746 is an abundant number, since it is smaller than the sum of its proper divisors (73648369734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72271642746 is a wasteful number, since it uses less digits than its factorization.

72271642746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38478.

The product of its digits is 1580544, while the sum is 48.

The spelling of 72271642746 in words is "seventy-two billion, two hundred seventy-one million, six hundred forty-two thousand, seven hundred forty-six".