72006270611040 has 1728 divisors, whose sum is σ = 279559441010304. Its totient is φ = 17451667095552.

The previous prime is 72006270610993. The next prime is 72006270611167. The reversal of 72006270611040 is 4011607260027.

72006270611040 is a `hidden beast` number, since 7 + 20 + 0 + 627 + 0 + 6 + 1 + 1 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72006270610986 and 72006270611004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110269939354 + ... + 110269940006.

It is an arithmetic number, because the mean of its divisors is an integer number (161782083918).

Almost surely, 2^{72006270611040} 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 72006270611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139779720505152).

72006270611040 is an abundant number, since it is smaller than the sum of its proper divisors (207553170399264).

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

72006270611040 is a wasteful number, since it uses less digits than its factorization.

72006270611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 72006270611040 its reverse (4011607260027), we get a palindrome (76017877871067).

The spelling of 72006270611040 in words is "seventy-two trillion, six billion, two hundred seventy million, six hundred eleven thousand, forty".