87201792 has 192 divisors, whose sum is σ = 275184000. Its totient is φ = 27205632.

The previous prime is 87201787. The next prime is 87201797. The reversal of 87201792 is 29710278.

It is an interprime number because it is at equal distance from previous prime (87201787) and next prime (87201797).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×87201792² = 15208305056022528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87201797) 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, 1050583 + ... + 1050665.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2^87201792 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 87201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

87201792 is an abundant number, since it is smaller than the sum of its proper divisors (187982208).

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

87201792 is a wasteful number, since it uses less digits than its factorization.

87201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

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

The square root of 87201792 is about 9338.1899745079. The cubic root of 87201792 is about 443.4470838320.

The spelling of 87201792 in words is "eighty-seven million, two hundred one thousand, seven hundred ninety-two".