72115952148 has 36 divisors (see below), whose sum is σ = 182686865088. Its totient is φ = 23986725840.

The previous prime is 72115952099. The next prime is 72115952149. The reversal of 72115952148 is 84125951127.

72115952148 is a `hidden beast` number, since 7 + 2 + 11 + 595 + 2 + 1 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72115952149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2146638 + ... + 2179973.

Almost surely, 2^72115952148 is an apocalyptic number.

It is an amenable number.

72115952148 is an abundant number, since it is smaller than the sum of its proper divisors (110570912940).

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

72115952148 is a wasteful number, since it uses less digits than its factorization.

72115952148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327084 (or 4327079 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 72115952148 in words is "seventy-two billion, one hundred fifteen million, nine hundred fifty-two thousand, one hundred forty-eight".