72132102 has 96 divisors (see below), whose sum is σ = 188098560. Its totient is φ = 19543680.

The previous prime is 72132101. The next prime is 72132149. The reversal of 72132102 is 20123127.

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 (72132101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230298 + ... + 230610.

It is an arithmetic number, because the mean of its divisors is an integer number (1959360).

Almost surely, 2^72132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94049280).

72132102 is an abundant number, since it is smaller than the sum of its proper divisors (115966458).

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

72132102 is a wasteful number, since it uses less digits than its factorization.

72132102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72132102 is about 8493.0619920026. The cubic root of 72132102 is about 416.2710380839.

Adding to 72132102 its reverse (20123127), we get a palindrome (92255229).

It can be divided in two parts, 721 and 32102, that added together give a palindrome (32823).

The spelling of 72132102 in words is "seventy-two million, one hundred thirty-two thousand, one hundred two".