72189624 has 64 divisors (see below), whose sum is σ = 195179040. Its totient is φ = 22118400.

The previous prime is 72189587. The next prime is 72189629. The reversal of 72189624 is 42698127.

It is a super-2 number, since 2×72189624² = 10422683626522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72189629) 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, 124824 + ... + 125400.

Almost surely, 2^72189624 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 72189624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97589520).

72189624 is an abundant number, since it is smaller than the sum of its proper divisors (122989416).

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

72189624 is a wasteful number, since it uses less digits than its factorization.

72189624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 72189624 is about 8496.4477283156. The cubic root of 72189624 is about 416.3816609544.

The spelling of 72189624 in words is "seventy-two million, one hundred eighty-nine thousand, six hundred twenty-four".