87478272 has 208 divisors, whose sum is σ = 298807680. Its totient is φ = 24772608.

The previous prime is 87478253. The next prime is 87478273. The reversal of 87478272 is 27287478.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87478273) 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, 774088 + ... + 774200.

Almost surely, 2^87478272 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 87478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149403840).

87478272 is an abundant number, since it is smaller than the sum of its proper divisors (211329408).

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

87478272 is a wasteful number, since it uses less digits than its factorization.

87478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 87478272 is about 9352.9819843727. The cubic root of 87478272 is about 443.9152504422.

The spelling of 87478272 in words is "eighty-seven million, four hundred seventy-eight thousand, two hundred seventy-two".