72229632798510 has 480 divisors, whose sum is σ = 216593431211520. Its totient is φ = 17125237987200.

The previous prime is 72229632798509. The next prime is 72229632798523. The reversal of 72229632798510 is 1589723692227.

72229632798510 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 9 + 6 + 3 + 27 + 98 + 510 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10203363151 + ... + 10203370229.

It is an arithmetic number, because the mean of its divisors is an integer number (451236315024).

Almost surely, 2^{72229632798510} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72229632798510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108296715605760).

72229632798510 is an abundant number, since it is smaller than the sum of its proper divisors (144363798413010).

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

72229632798510 is a wasteful number, since it uses less digits than its factorization.

72229632798510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 72229632798510 in words is "seventy-two trillion, two hundred twenty-nine billion, six hundred thirty-two million, seven hundred ninety-eight thousand, five hundred ten".