72615132 has 72 divisors (see below), whose sum is σ = 191150960. Its totient is φ = 23224320.

The previous prime is 72615121. The next prime is 72615133. The reversal of 72615132 is 23151627.

It is a happy number.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 72615096 and 72615105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72615133) 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, 94044 + ... + 94812.

Almost surely, 2^72615132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72615132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95575480).

72615132 is an abundant number, since it is smaller than the sum of its proper divisors (118535828).

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

72615132 is a wasteful number, since it uses less digits than its factorization.

72615132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 878 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72615132 is about 8521.4512848458. The cubic root of 72615132 is about 417.1981529830.

Adding to 72615132 its reverse (23151627), we get a palindrome (95766759).

The spelling of 72615132 in words is "seventy-two million, six hundred fifteen thousand, one hundred thirty-two".