87346272000 has 1152 divisors, whose sum is σ = 347128104960. Its totient is φ = 19247923200.

The previous prime is 87346271963. The next prime is 87346272001. The reversal of 87346272000 is 27264378.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87346272000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87346272001) 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, 487967911 + ... + 487968089.

It is an arithmetic number, because the mean of its divisors is an integer number (301326480).

Almost surely, 2^87346272000 is an apocalyptic number.

87346272000 is a gapful number since it is divisible by the number (80) 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 87346272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173564052480).

87346272000 is an abundant number, since it is smaller than the sum of its proper divisors (259781832960).

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

87346272000 is a wasteful number, since it uses less digits than its factorization.

87346272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 87346272000 in words is "eighty-seven billion, three hundred forty-six million, two hundred seventy-two thousand".