72013532 has 12 divisors (see below), whose sum is σ = 126117096. Its totient is φ = 35980080.

The previous prime is 72013531. The next prime is 72013559. The reversal of 72013532 is 23531027.

It is a super-2 number, since 2×72013532² = 10371897582230048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72013498 and 72013507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72013531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 12002.

It is an arithmetic number, because the mean of its divisors is an integer number (10509758).

Almost surely, 2^72013532 is an apocalyptic number.

It is an amenable number.

72013532 is a deficient number, since it is larger than the sum of its proper divisors (54103564).

72013532 is a wasteful number, since it uses less digits than its factorization.

72013532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72013532 is about 8486.0787175232. The cubic root of 72013532 is about 416.0428256577.

Adding to 72013532 its reverse (23531027), we get a palindrome (95544559).

The spelling of 72013532 in words is "seventy-two million, thirteen thousand, five hundred thirty-two".