72545214021500 has 192 divisors, whose sum is σ = 177500508337152. Its totient is φ = 25673544288000.

The previous prime is 72545214021479. The next prime is 72545214021503. The reversal of 72545214021500 is 512041254527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72545214021503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64956809 + ... + 66064191.

It is an arithmetic number, because the mean of its divisors is an integer number (924481814256).

Almost surely, 2^{72545214021500} 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 72545214021500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88750254168576).

72545214021500 is an abundant number, since it is smaller than the sum of its proper divisors (104955294315652).

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

72545214021500 is a wasteful number, since it uses less digits than its factorization.

72545214021500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107733 (or 1107721 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The spelling of 72545214021500 in words is "seventy-two trillion, five hundred forty-five billion, two hundred fourteen million, twenty-one thousand, five hundred".