72918384 has 160 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 18662400.

The previous prime is 72918367. The next prime is 72918403. The reversal of 72918384 is 48381927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 402774 + ... + 402954.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^72918384 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 72918384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

72918384 is an abundant number, since it is smaller than the sum of its proper divisors (165399696).

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

72918384 is a wasteful number, since it uses less digits than its factorization.

72918384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 72918384 is about 8539.2261944511. The cubic root of 72918384 is about 417.7781076989.

The spelling of 72918384 in words is "seventy-two million, nine hundred eighteen thousand, three hundred eighty-four".