72884240 has 160 divisors (see below), whose sum is σ = 208486656. Its totient is φ = 23316480.

The previous prime is 72884239. The next prime is 72884243. The reversal of 72884240 is 4248827.

It is a super-2 number, since 2×72884240² = 10624224880755200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72884240.

It is not an unprimeable number, because it can be changed into a prime (72884243) 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, 262982 + ... + 263258.

Almost surely, 2^72884240 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 72884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104243328).

72884240 is an abundant number, since it is smaller than the sum of its proper divisors (135602416).

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

72884240 is a wasteful number, since it uses less digits than its factorization.

72884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 72884240 is about 8537.2267159775. The cubic root of 72884240 is about 417.7128893823.

The spelling of 72884240 in words is "seventy-two million, eight hundred eighty-four thousand, two hundred forty".