87720192 has 288 divisors, whose sum is σ = 310688000. Its totient is φ = 24385536.

The previous prime is 87720179. The next prime is 87720239. The reversal of 87720192 is 29102778.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370798 + ... + 2370834.

Almost surely, 2^87720192 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 87720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344000).

87720192 is an abundant number, since it is smaller than the sum of its proper divisors (222967808).

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

87720192 is an equidigital number, since it uses as much as digits as its factorization.

87720192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 87720192 is about 9365.9058291230. The cubic root of 87720192 is about 444.3240877063.

87720192 divided by its product of nonzero digits (14112) gives a triangular number (6216 = T₁₁₁).

The spelling of 87720192 in words is "eighty-seven million, seven hundred twenty thousand, one hundred ninety-two".