72089515663620 has 576 divisors, whose sum is σ = 254983794863616. Its totient is φ = 15083057848320.

The previous prime is 72089515663577. The next prime is 72089515663621. The reversal of 72089515663620 is 2636651598027.

72089515663620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (72089515663621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5304203025 + ... + 5304216615.

It is an arithmetic number, because the mean of its divisors is an integer number (442680199416).

Almost surely, 2^{72089515663620} is an apocalyptic number.

72089515663620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72089515663620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491897431808).

72089515663620 is an abundant number, since it is smaller than the sum of its proper divisors (182894279199996).

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

72089515663620 is a wasteful number, since it uses less digits than its factorization.

72089515663620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 72089515663620 in words is "seventy-two trillion, eighty-nine billion, five hundred fifteen million, six hundred sixty-three thousand, six hundred twenty".