72054240 has 96 divisors (see below), whose sum is σ = 232315776. Its totient is φ = 18762240.

The previous prime is 72054217. The next prime is 72054253. The reversal of 72054240 is 4245027.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72054240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18895 + ... + 22385.

It is an arithmetic number, because the mean of its divisors is an integer number (2419956).

Almost surely, 2^72054240 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 72054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116157888).

72054240 is an abundant number, since it is smaller than the sum of its proper divisors (160261536).

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

72054240 is a wasteful number, since it uses less digits than its factorization.

72054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 72054240 is about 8488.4768951797. The cubic root of 72054240 is about 416.1212048207.

Adding to 72054240 its reverse (4245027), we get a palindrome (76299267).

The spelling of 72054240 in words is "seventy-two million, fifty-four thousand, two hundred forty".