72668948 has 24 divisors (see below), whose sum is σ = 146893824. Its totient is φ = 31088000.

The previous prime is 72668927. The next prime is 72668969. The reversal of 72668948 is 84986627.

It is an interprime number because it is at equal distance from previous prime (72668927) and next prime (72668969).

It is a junction number, because it is equal to n+sod(n) for n = 72668896 and 72668905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47828 + ... + 49323.

It is an arithmetic number, because the mean of its divisors is an integer number (6120576).

Almost surely, 2^72668948 is an apocalyptic number.

It is an amenable number.

72668948 is an abundant number, since it is smaller than the sum of its proper divisors (74224876).

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

72668948 is a wasteful number, since it uses less digits than its factorization.

72668948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97183 (or 97181 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 72668948 is about 8524.6083781016. The cubic root of 72668948 is about 417.3011911561.

The spelling of 72668948 in words is "seventy-two million, six hundred sixty-eight thousand, nine hundred forty-eight".