72984240 has 200 divisors, whose sum is σ = 289877280. Its totient is φ = 16671744.

The previous prime is 72984217. The next prime is 72984251. The reversal of 72984240 is 4248927.

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

It is a junction number, because it is equal to n+sod(n) for n = 72984195 and 72984204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44556 + ... + 46164.

Almost surely, 2^72984240 is an apocalyptic number.

72984240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144938640).

72984240 is an abundant number, since it is smaller than the sum of its proper divisors (216893040).

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

72984240 is a wasteful number, since it uses less digits than its factorization.

72984240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1626 counting only the distinct ones).

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

The square root of 72984240 is about 8543.0814112942. The cubic root of 72984240 is about 417.9038414983.

The spelling of 72984240 in words is "seventy-two million, nine hundred eighty-four thousand, two hundred forty".