72993114 has 24 divisors (see below), whose sum is σ = 158332512. Its totient is φ = 24303240.

The previous prime is 72993097. The next prime is 72993131. The reversal of 72993114 is 41139927.

It is an interprime number because it is at equal distance from previous prime (72993097) and next prime (72993131).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19347 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (6597188).

Almost surely, 2^72993114 is an apocalyptic number.

72993114 is an abundant number, since it is smaller than the sum of its proper divisors (85339398).

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

72993114 is a wasteful number, since it uses less digits than its factorization.

72993114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4639 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 72993114 is about 8543.6007631443. The cubic root of 72993114 is about 417.9207781611.

The spelling of 72993114 in words is "seventy-two million, nine hundred ninety-three thousand, one hundred fourteen".