72288540 has 144 divisors (see below), whose sum is σ = 241113600. Its totient is φ = 17449344.

The previous prime is 72288533. The next prime is 72288553. The reversal of 72288540 is 4588227.

It is a happy number.

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 = 72288495 and 72288504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78201 + ... + 79119.

It is an arithmetic number, because the mean of its divisors is an integer number (1674400).

Almost surely, 2^72288540 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 72288540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120556800).

72288540 is an abundant number, since it is smaller than the sum of its proper divisors (168825060).

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

72288540 is a wasteful number, since it uses less digits than its factorization.

72288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72288540 is about 8502.2667565773. The cubic root of 72288540 is about 416.5717529588.

The spelling of 72288540 in words is "seventy-two million, two hundred eighty-eight thousand, five hundred forty".