72071100 has 72 divisors (see below), whose sum is σ = 231703920. Its totient is φ = 19218240.

The previous prime is 72071039. The next prime is 72071101. The reversal of 72071100 is 117027.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72071101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10647 + ... + 16046.

It is an arithmetic number, because the mean of its divisors is an integer number (3218110).

Almost surely, 2^72071100 is an apocalyptic number.

It is an amenable number.

72071100 is an abundant number, since it is smaller than the sum of its proper divisors (159632820).

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

72071100 is a wasteful number, since it uses less digits than its factorization.

72071100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26716 (or 26703 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 72071100 is about 8489.4699481181. The cubic root of 72071100 is about 416.1536584111.

Adding to 72071100 its reverse (117027), we get a palindrome (72188127).

The spelling of 72071100 in words is "seventy-two million, seventy-one thousand, one hundred".