87999072 has 96 divisors (see below), whose sum is σ = 279562752. Its totient is φ = 23660544.

The previous prime is 87999071. The next prime is 87999077. The reversal of 87999072 is 27099978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87999072² = 15487673345722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87999071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7573 + ... + 15275.

It is an arithmetic number, because the mean of its divisors is an integer number (2912112).

Almost surely, 2^87999072 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 87999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139781376).

87999072 is an abundant number, since it is smaller than the sum of its proper divisors (191563680).

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

87999072 is a wasteful number, since it uses less digits than its factorization.

87999072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 87999072 is about 9380.7820569503. The cubic root of 87999072 is about 444.7944545830.

It can be divided in two parts, 8799 and 9072, that added together give a palindrome (17871).

The spelling of 87999072 in words is "eighty-seven million, nine hundred ninety-nine thousand, seventy-two".