72384381 has 32 divisors (see below), whose sum is σ = 112608000. Its totient is φ = 45866304.

The previous prime is 72384359. The next prime is 72384401. The reversal of 72384381 is 18348327.

It is not a de Polignac number, because 72384381 - 2¹¹ = 72382333 is a prime.

It is a super-2 number, since 2×72384381² = 10478997225506322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141955 + ... + 142463.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2^72384381 is an apocalyptic number.

It is an amenable number.

72384381 is a deficient number, since it is larger than the sum of its proper divisors (40223619).

72384381 is a wasteful number, since it uses less digits than its factorization.

72384381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72384381 is about 8507.9010925139. The cubic root of 72384381 is about 416.7557702417.

The spelling of 72384381 in words is "seventy-two million, three hundred eighty-four thousand, three hundred eighty-one".