72587877207552 has 1920 divisors, whose sum is σ = 268708401561600. Its totient is φ = 19092620574720.

The previous prime is 72587877207529. The next prime is 72587877207553. The reversal of 72587877207552 is 25570277878527.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72587877207553) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209186965843 + ... + 209186966189.

It is an arithmetic number, because the mean of its divisors is an integer number (139952292480).

Almost surely, 2^{72587877207552} is an apocalyptic number.

72587877207552 is a gapful number since it is divisible by the number (72) 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 72587877207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134354200780800).

72587877207552 is an abundant number, since it is smaller than the sum of its proper divisors (196120524354048).

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

72587877207552 is a wasteful number, since it uses less digits than its factorization.

72587877207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1075648000, while the sum is 72.

The spelling of 72587877207552 in words is "seventy-two trillion, five hundred eighty-seven billion, eight hundred seventy-seven million, two hundred seven thousand, five hundred fifty-two".