87381272 has 64 divisors (see below), whose sum is σ = 187799040. Its totient is φ = 37756800.

The previous prime is 87381253. The next prime is 87381293. The reversal of 87381272 is 27218378.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (37632) is a multiple of the sum of its prime factors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152747 + ... + 153317.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 2^87381272 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 87381272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93899520).

87381272 is an abundant number, since it is smaller than the sum of its proper divisors (100417768).

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

87381272 is a wasteful number, since it uses less digits than its factorization.

87381272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 87381272 is about 9347.7950341244. The cubic root of 87381272 is about 443.7511117608.

The spelling of 87381272 in words is "eighty-seven million, three hundred eighty-one thousand, two hundred seventy-two".