72430384 has 80 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 31530240.

The previous prime is 72430357. The next prime is 72430403. The reversal of 72430384 is 48303427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302937 + ... + 303175.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2^72430384 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 72430384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

72430384 is an abundant number, since it is smaller than the sum of its proper divisors (87559376).

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

72430384 is a wasteful number, since it uses less digits than its factorization.

72430384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 72430384 is about 8510.6042088679. The cubic root of 72430384 is about 416.8440395403.

The spelling of 72430384 in words is "seventy-two million, four hundred thirty thousand, three hundred eighty-four".