72786132 has 18 divisors (see below), whose sum is σ = 183987258. Its totient is φ = 24262032.

The previous prime is 72786121. The next prime is 72786137. The reversal of 72786132 is 23168727.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 31877316 = 6396^2 + 5646^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2021837 = 72786132 / (7 + 2 + 7 + 8 + 6 + 1 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72786137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010883 + ... + 1010954.

Almost surely, 2^72786132 is an apocalyptic number.

It is an amenable number.

72786132 is an abundant number, since it is smaller than the sum of its proper divisors (111201126).

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

72786132 is a wasteful number, since it uses less digits than its factorization.

72786132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021847 (or 2021842 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72786132 is about 8531.4788870395. The cubic root of 72786132 is about 417.5253802683.

The spelling of 72786132 in words is "seventy-two million, seven hundred eighty-six thousand, one hundred thirty-two".