72087468 has 24 divisors (see below), whose sum is σ = 168342720. Its totient is φ = 24009360.

The previous prime is 72087467. The next prime is 72087469. The reversal of 72087468 is 86478027.

It is an interprime number because it is at equal distance from previous prime (72087467) and next prime (72087469).

It is not an unprimeable number, because it can be changed into a prime (72087461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24163 + ... + 26981.

It is an arithmetic number, because the mean of its divisors is an integer number (7014280).

Almost surely, 2^72087468 is an apocalyptic number.

It is an amenable number.

72087468 is an abundant number, since it is smaller than the sum of its proper divisors (96255252).

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

72087468 is a wasteful number, since it uses less digits than its factorization.

72087468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72087468 is about 8490.4339111732. The cubic root of 72087468 is about 416.1851601156.

It can be divided in two parts, 720 and 87468, that added together give a palindrome (88188).

The spelling of 72087468 in words is "seventy-two million, eighty-seven thousand, four hundred sixty-eight".