72030240285696 has 1408 divisors, whose sum is σ = 270758321049600. Its totient is φ = 18373595627520.

The previous prime is 72030240285691. The next prime is 72030240285713. The reversal of 72030240285696 is 69658204203027.

72030240285696 is a `hidden beast` number, since 7 + 2 + 0 + 30 + 2 + 40 + 2 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72030240285691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41805129891 + ... + 41805131613.

Almost surely, 2^{72030240285696} 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 72030240285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135379160524800).

72030240285696 is an abundant number, since it is smaller than the sum of its proper divisors (198728080763904).

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

72030240285696 is a wasteful number, since it uses less digits than its factorization.

72030240285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 72030240285696 in words is "seventy-two trillion, thirty billion, two hundred forty million, two hundred eighty-five thousand, six hundred ninety-six".