72035537904 has 180 divisors, whose sum is σ = 221811100056. Its totient is φ = 21807456000.

The previous prime is 72035537891. The next prime is 72035537921. The reversal of 72035537904 is 40973553027.

72035537904 is a `hidden beast` number, since 7 + 2 + 0 + 3 + 553 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×72035537904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72035537904.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 33644674 + ... + 33646814.

Almost surely, 2^72035537904 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 72035537904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110905550028).

72035537904 is an abundant number, since it is smaller than the sum of its proper divisors (149775562152).

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

72035537904 is a wasteful number, since it uses less digits than its factorization.

72035537904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 72035537904 in words is "seventy-two billion, thirty-five million, five hundred thirty-seven thousand, nine hundred four".