72624732 has 12 divisors (see below), whose sum is σ = 169457736. Its totient is φ = 24208240.

The previous prime is 72624719. The next prime is 72624737. The reversal of 72624732 is 23742627.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 72624693 and 72624702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72624737) 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 3 ways as a sum of consecutive naturals, for example, 3026019 + ... + 3026042.

It is an arithmetic number, because the mean of its divisors is an integer number (14121478).

Almost surely, 2^72624732 is an apocalyptic number.

It is an amenable number.

72624732 is an abundant number, since it is smaller than the sum of its proper divisors (96833004).

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

72624732 is a wasteful number, since it uses less digits than its factorization.

72624732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052068 (or 6052066 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 72624732 is about 8522.0145505626. The cubic root of 72624732 is about 417.2165372402.

The spelling of 72624732 in words is "seventy-two million, six hundred twenty-four thousand, seven hundred thirty-two".