72053360 has 40 divisors (see below), whose sum is σ = 169081440. Its totient is φ = 28553472.

The previous prime is 72053357. The next prime is 72053363. The reversal of 72053360 is 6335027.

It is an interprime number because it is at equal distance from previous prime (72053357) and next prime (72053363).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4589 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (4227036).

Almost surely, 2^72053360 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 72053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84540720).

72053360 is an abundant number, since it is smaller than the sum of its proper divisors (97028080).

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

72053360 is a wasteful number, since it uses less digits than its factorization.

72053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 72053360 is about 8488.4250600450. The cubic root of 72053360 is about 416.1195107813.

Adding to 72053360 its reverse (6335027), we get a palindrome (78388387).

The spelling of 72053360 in words is "seventy-two million, fifty-three thousand, three hundred sixty".