72509760 has 168 divisors, whose sum is σ = 264252456. Its totient is φ = 18186240.

The previous prime is 72509741. The next prime is 72509783. The reversal of 72509760 is 6790527.

It can be written as a sum of positive squares in 4 ways, for example, as 12787776 + 59721984 = 3576^2 + 7728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48220 + ... + 49700.

Almost surely, 2^72509760 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 72509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132126228).

72509760 is an abundant number, since it is smaller than the sum of its proper divisors (191742696).

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

72509760 is a wasteful number, since it uses less digits than its factorization.

72509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72509760 is about 8515.2662906101. The cubic root of 72509760 is about 416.9962561988.

The spelling of 72509760 in words is "seventy-two million, five hundred nine thousand, seven hundred sixty".