72547440 has 240 divisors, whose sum is σ = 271411200. Its totient is φ = 15966720.

The previous prime is 72547427. The next prime is 72547441. The reversal of 72547440 is 4474527.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 364461 + ... + 364659.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 2^72547440 is an apocalyptic number.

72547440 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 72547440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

72547440 is an abundant number, since it is smaller than the sum of its proper divisors (198863760).

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

72547440 is a wasteful number, since it uses less digits than its factorization.

72547440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 72547440 is about 8517.4785001196. The cubic root of 72547440 is about 417.0684749734.

The spelling of 72547440 in words is "seventy-two million, five hundred forty-seven thousand, four hundred forty".