72106632 has 64 divisors (see below), whose sum is σ = 215712000. Its totient is φ = 22185792.

The previous prime is 72106631. The next prime is 72106693. The reversal of 72106632 is 23660127.

It is a happy number.

72106632 is a `hidden beast` number, since 7 + 21 + 0 + 6 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72106596 and 72106605.

It is not an unprimeable number, because it can be changed into a prime (72106631) 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, 10032 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (3370500).

Almost surely, 2^72106632 is an apocalyptic number.

72106632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72106632 is an abundant number, since it is smaller than the sum of its proper divisors (143605368).

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

72106632 is a wasteful number, since it uses less digits than its factorization.

72106632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25707 (or 25697 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72106632 is about 8491.5624004067. The cubic root of 72106632 is about 416.2220369171. Note that the first 3 decimals are identical.

Adding to 72106632 its reverse (23660127), we get a palindrome (95766759).

The spelling of 72106632 in words is "seventy-two million, one hundred six thousand, six hundred thirty-two".