87272261440 has 448 divisors, whose sum is σ = 269550489600. Its totient is φ = 26715709440.

The previous prime is 87272261411. The next prime is 87272261449. The reversal of 87272261440 is 4416227278.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87272261449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44232294 + ... + 44234266.

It is an arithmetic number, because the mean of its divisors is an integer number (601675200).

Almost surely, 2^87272261440 is an apocalyptic number.

87272261440 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 87272261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134775244800).

87272261440 is an abundant number, since it is smaller than the sum of its proper divisors (182278228160).

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

87272261440 is a wasteful number, since it uses less digits than its factorization.

87272261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 87272261440 in words is "eighty-seven billion, two hundred seventy-two million, two hundred sixty-one thousand, four hundred forty".