72295968 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 21934080.

The previous prime is 72295933. The next prime is 72295973. The reversal of 72295968 is 86959227.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 49878 + ... + 51306.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^72295968 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 72295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

72295968 is an abundant number, since it is smaller than the sum of its proper divisors (135271392).

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

72295968 is a wasteful number, since it uses less digits than its factorization.

72295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 72295968 is about 8502.7035700417. The cubic root of 72295968 is about 416.5860207297.

The spelling of 72295968 in words is "seventy-two million, two hundred ninety-five thousand, nine hundred sixty-eight".