87254272 has 144 divisors (see below), whose sum is σ = 217808640. Its totient is φ = 34062336.

The previous prime is 87254261. The next prime is 87254309. The reversal of 87254272 is 27245278.

It is a super-2 number, since 2×87254272² = 15226615964499968, which contains 22 as substring.

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, 1195228 + ... + 1195300.

It is an arithmetic number, because the mean of its divisors is an integer number (1512560).

Almost surely, 2^87254272 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 87254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108904320).

87254272 is an abundant number, since it is smaller than the sum of its proper divisors (130554368).

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

87254272 is a wasteful number, since it uses less digits than its factorization.

87254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 62720, while the sum is 37.

The square root of 87254272 is about 9340.9995182529. Note that the first 3 decimals coincide. The cubic root of 87254272 is about 443.5360248023.

The spelling of 87254272 in words is "eighty-seven million, two hundred fifty-four thousand, two hundred seventy-two".