72053520 has 240 divisors, whose sum is σ = 283963968. Its totient is φ = 14945280.

The previous prime is 72053519. The next prime is 72053551. The reversal of 72053520 is 2535027.

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

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

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, 129082 + ... + 129638.

Almost surely, 2^72053520 is an apocalyptic number.

72053520 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 72053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141981984).

72053520 is an abundant number, since it is smaller than the sum of its proper divisors (211910448).

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

72053520 is a wasteful number, since it uses less digits than its factorization.

72053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 72053520 is about 8488.4344846385. The cubic root of 72053520 is about 416.1198187895.

Adding to 72053520 its reverse (2535027), we get a palindrome (74588547).

The spelling of 72053520 in words is "seventy-two million, fifty-three thousand, five hundred twenty".