72354384 has 50 divisors (see below), whose sum is σ = 209418330. Its totient is φ = 24117696.

The previous prime is 72354379. The next prime is 72354421. The reversal of 72354384 is 48345327.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59907600 + 12446784 = 7740^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26619 + ... + 29210.

Almost surely, 2^72354384 is an apocalyptic number.

It is an amenable number.

72354384 is an abundant number, since it is smaller than the sum of its proper divisors (137063946).

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

72354384 is a wasteful number, since it uses less digits than its factorization.

72354384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55849 (or 55834 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72354384 is about 8506.1380191013. The cubic root of 72354384 is about 416.6981926724.

The spelling of 72354384 in words is "seventy-two million, three hundred fifty-four thousand, three hundred eighty-four".