72448509510 has 256 divisors, whose sum is σ = 220993920000. Its totient is φ = 16731297792.

The previous prime is 72448509499. The next prime is 72448509557. The reversal of 72448509510 is 1590584427.

72448509510 is a `hidden beast` number, since 72 + 4 + 485 + 0 + 95 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20703741 + ... + 20707239.

It is an arithmetic number, because the mean of its divisors is an integer number (863257500).

Almost surely, 2^72448509510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72448509510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110496960000).

72448509510 is an abundant number, since it is smaller than the sum of its proper divisors (148545410490).

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

72448509510 is a wasteful number, since it uses less digits than its factorization.

72448509510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 72448509510 in words is "seventy-two billion, four hundred forty-eight million, five hundred nine thousand, five hundred ten".