72416243101000 has 64 divisors (see below), whose sum is σ = 169559067815280. Its totient is φ = 28948538444800.

The previous prime is 72416243100983. The next prime is 72416243101049. The reversal of 72416243101000 is 10134261427.

It can be written as a sum of positive squares in 8 ways, for example, as 1346588501476 + 71069654599524 = 1160426^2 + 8430282^2 .

It is a super-2 number, since 2×72416243101000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20834689 + ... + 24060688.

Almost surely, 2^{72416243101000} is an apocalyptic number.

It is an amenable number.

72416243101000 is an abundant number, since it is smaller than the sum of its proper divisors (97142824714280).

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

72416243101000 is a wasteful number, since it uses less digits than its factorization.

72416243101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44897011 (or 44896997 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 72416243101000 its reverse (10134261427), we get a palindrome (72426377362427).

The spelling of 72416243101000 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred one thousand".