72101120 has 144 divisors (see below), whose sum is σ = 212903040. Its totient is φ = 22781952.

The previous prime is 72101111. The next prime is 72101129. The reversal of 72101120 is 2110127.

It is an interprime number because it is at equal distance from previous prime (72101111) and next prime (72101129).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 72101095 and 72101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101129) 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, 116171 + ... + 116789.

Almost surely, 2^72101120 is an apocalyptic number.

72101120 is a gapful number since it is divisible by the number (70) 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 72101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

72101120 is an abundant number, since it is smaller than the sum of its proper divisors (140801920).

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

72101120 is a wasteful number, since it uses less digits than its factorization.

72101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 72101120 is about 8491.2378367350. The cubic root of 72101120 is about 416.2114309841.

Adding to 72101120 its reverse (2110127), we get a palindrome (74211247).

The spelling of 72101120 in words is "seventy-two million, one hundred one thousand, one hundred twenty".