101712672 has 60 divisors (see below), whose sum is σ = 299141766. Its totient is φ = 33903360.

The previous prime is 101712641. The next prime is 101712679. The reversal of 101712672 is 276217101.

It can be written as a sum of positive squares in only one way, i.e., 95179536 + 6533136 = 9756^2 + 2556^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101712679) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17029 + ... + 22212.

Almost surely, 2^101712672 is an apocalyptic number.

101712672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101712672 is an abundant number, since it is smaller than the sum of its proper divisors (197429094).

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

101712672 is an equidigital number, since it uses as much as digits as its factorization.

101712672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39263 (or 39246 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 101712672 is about 10085.2700509208. The cubic root of 101712672 is about 466.7937377316.

Adding to 101712672 its reverse (276217101), we get a palindrome (377929773).

It can be divided in two parts, 1017 and 12672, that added together give a square (13689 = 117²).

The spelling of 101712672 in words is "one hundred one million, seven hundred twelve thousand, six hundred seventy-two".