87472000 has 256 divisors, whose sum is σ = 274959360. Its totient is φ = 26880000.

The previous prime is 87471997. The next prime is 87472003. The reversal of 87472000 is 27478.

It is an interprime number because it is at equal distance from previous prime (87471997) and next prime (87472003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 87472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87472003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231965 + ... + 1232035.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^87472000 is an apocalyptic number.

87472000 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 87472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

87472000 is an abundant number, since it is smaller than the sum of its proper divisors (187487360).

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

87472000 is a wasteful number, since it uses less digits than its factorization.

87472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 87472000 is about 9352.6466842279. The cubic root of 87472000 is about 443.9046409391.

Adding to 87472000 its reverse (27478), we get a palindrome (87499478).

The spelling of 87472000 in words is "eighty-seven million, four hundred seventy-two thousand".