72015468 has 192 divisors, whose sum is σ = 220631040. Its totient is φ = 17805312.

The previous prime is 72015467. The next prime is 72015473. The reversal of 72015468 is 86451027.

It is not an unprimeable number, because it can be changed into a prime (72015467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1532221 + ... + 1532267.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^72015468 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 72015468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

72015468 is an abundant number, since it is smaller than the sum of its proper divisors (148615572).

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

72015468 is a wasteful number, since it uses less digits than its factorization.

72015468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72015468 is about 8486.1927859317. The cubic root of 72015468 is about 416.0465539000.

The spelling of 72015468 in words is "seventy-two million, fifteen thousand, four hundred sixty-eight".