72219840 has 224 divisors, whose sum is σ = 286170624. Its totient is φ = 14991360.

The previous prime is 72219821. The next prime is 72219857. The reversal of 72219840 is 4891227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73432 + ... + 74408.

Almost surely, 2^72219840 is an apocalyptic number.

72219840 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 72219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143085312).

72219840 is an abundant number, since it is smaller than the sum of its proper divisors (213950784).

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

72219840 is a wasteful number, since it uses less digits than its factorization.

72219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72219840 is about 8498.2256971676. The cubic root of 72219840 is about 416.4397470181.

It can be divided in two parts, 72 and 219840, that added together give a palindrome (219912).

The spelling of 72219840 in words is "seventy-two million, two hundred nineteen thousand, eight hundred forty".