1087414272 has 336 divisors, whose sum is σ = 3748430400. Its totient is φ = 303464448.

The previous prime is 1087414267. The next prime is 1087414277. The reversal of 1087414272 is 2724147801.

It is an interprime number because it is at equal distance from previous prime (1087414267) and next prime (1087414277).

It is a tau number, because it is divible by the number of its divisors (336).

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 (1087414277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25288683 + ... + 25288725.

Almost surely, 2^1087414272 is an apocalyptic number.

1087414272 is a gapful number since it is divisible by the number (12) 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 1087414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874215200).

1087414272 is an abundant number, since it is smaller than the sum of its proper divisors (2661016128).

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

1087414272 is an frugal number, since it uses more digits than its factorization.

1087414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1087414272 is about 32975.9650654837. The cubic root of 1087414272 is about 1028.3280355316.

The spelling of 1087414272 in words is "one billion, eighty-seven million, four hundred fourteen thousand, two hundred seventy-two".