107736729072 has 160 divisors (see below), whose sum is σ = 322002247680. Its totient is φ = 30404678400.

The previous prime is 107736729043. The next prime is 107736729091. The reversal of 107736729072 is 270927637701.

It is a happy number.

It is a super-2 number, since 2×107736729072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9075813 + ... + 9087675.

It is an arithmetic number, because the mean of its divisors is an integer number (2012514048).

Almost surely, 2^107736729072 is an apocalyptic number.

107736729072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107736729072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161001123840).

107736729072 is an abundant number, since it is smaller than the sum of its proper divisors (214265518608).

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

107736729072 is a wasteful number, since it uses less digits than its factorization.

107736729072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 51.

The spelling of 107736729072 in words is "one hundred seven billion, seven hundred thirty-six million, seven hundred twenty-nine thousand, seventy-two".