87272976400 has 45 divisors (see below), whose sum is σ = 209687521693. Its totient is φ = 34906827200.

The previous prime is 87272976389. The next prime is 87272976409. The reversal of 87272976400 is 467927278.

The square root of 87272976400 is 295420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31418271504 + 55854704896 = 177252^2 + 236336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87272976409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5901015 + ... + 5915785.

Almost surely, 2^87272976400 is an apocalyptic number.

87272976400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87272976400 is the 295420-th square number.

It is an amenable number.

87272976400 is an abundant number, since it is smaller than the sum of its proper divisors (122414545293).

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

87272976400 is an frugal number, since it uses more digits than its factorization.

87272976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29560 (or 14778 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 87272976400 in words is "eighty-seven billion, two hundred seventy-two million, nine hundred seventy-six thousand, four hundred".