101040072 has 64 divisors (see below), whose sum is σ = 295747200. Its totient is φ = 28162560.

The previous prime is 101040059. The next prime is 101040077. The reversal of 101040072 is 270040101.

It is a super-2 number, since 2×101040072² = 20418192299530368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101040077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (4621050).

Almost surely, 2^101040072 is an apocalyptic number.

101040072 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 101040072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147873600).

101040072 is an abundant number, since it is smaller than the sum of its proper divisors (194707128).

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

101040072 is a wasteful number, since it uses less digits than its factorization.

101040072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14726 (or 14722 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 101040072 is about 10051.8690799274. The cubic root of 101040072 is about 465.7625319719.

Adding to 101040072 its reverse (270040101), we get a palindrome (371080173).

The spelling of 101040072 in words is "one hundred one million, forty thousand, seventy-two".