72101412 has 108 divisors (see below), whose sum is σ = 200089344. Its totient is φ = 21827520.

The previous prime is 72101401. The next prime is 72101459. The reversal of 72101412 is 21410127.

It is a super-2 number, since 2×72101412² = 10397227224787488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1360378 + ... + 1360430.

Almost surely, 2^72101412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100044672).

72101412 is an abundant number, since it is smaller than the sum of its proper divisors (127987932).

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

72101412 is a wasteful number, since it uses less digits than its factorization.

72101412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72101412 is about 8491.2550309127. The cubic root of 72101412 is about 416.2119928504.

Adding to 72101412 its reverse (21410127), we get a palindrome (93511539).

The spelling of 72101412 in words is "seventy-two million, one hundred one thousand, four hundred twelve".