72537120 has 240 divisors, whose sum is σ = 266195160. Its totient is φ = 18579456.

The previous prime is 72537097. The next prime is 72537133. The reversal of 72537120 is 2173527.

72537120 is a `hidden beast` number, since 7 + 2 + 537 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50296464 + 22240656 = 7092^2 + 4716^2 .

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375744 + ... + 375936.

Almost surely, 2^72537120 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 72537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133097580).

72537120 is an abundant number, since it is smaller than the sum of its proper divisors (193658040).

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

72537120 is a wasteful number, since it uses less digits than its factorization.

72537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72537120 is about 8516.8726654800. The cubic root of 72537120 is about 417.0486977960.

The spelling of 72537120 in words is "seventy-two million, five hundred thirty-seven thousand, one hundred twenty".