72424632 has 32 divisors (see below), whose sum is σ = 206928000. Its totient is φ = 20692704.

The previous prime is 72424621. The next prime is 72424633. The reversal of 72424632 is 23642427.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72424632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72424633) 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 7 ways as a sum of consecutive naturals, for example, 215382 + ... + 215717.

It is an arithmetic number, because the mean of its divisors is an integer number (6466500).

Almost surely, 2^72424632 is an apocalyptic number.

It is an amenable number.

72424632 is an abundant number, since it is smaller than the sum of its proper divisors (134503368).

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

72424632 is a wasteful number, since it uses less digits than its factorization.

72424632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431115 (or 431111 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 72424632 is about 8510.2662708049. The cubic root of 72424632 is about 416.8330048048.

The spelling of 72424632 in words is "seventy-two million, four hundred twenty-four thousand, six hundred thirty-two".