72132126 has 16 divisors (see below), whose sum is σ = 157379328. Its totient is φ = 21858200.

The previous prime is 72132101. The next prime is 72132149. The reversal of 72132126 is 62123127.

It is a junction number, because it is equal to n+sod(n) for n = 72132096 and 72132105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546390 + ... + 546521.

It is an arithmetic number, because the mean of its divisors is an integer number (9836208).

Almost surely, 2^72132126 is an apocalyptic number.

72132126 is an abundant number, since it is smaller than the sum of its proper divisors (85247202).

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

72132126 is a wasteful number, since it uses less digits than its factorization.

72132126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092927.

The product of its digits is 1008, while the sum is 24.

The square root of 72132126 is about 8493.0634049205. The cubic root of 72132126 is about 416.2710842516.

It can be divided in two parts, 7213 and 2126, that added together give a palindrome (9339).

The spelling of 72132126 in words is "seventy-two million, one hundred thirty-two thousand, one hundred twenty-six".