93742272 has 210 divisors, whose sum is σ = 303713388. Its totient is φ = 28574208.

The previous prime is 93742261. The next prime is 93742283. The reversal of 93742272 is 27224739.

It is an interprime number because it is at equal distance from previous prime (93742261) and next prime (93742283).

It is a super-2 number, since 2×93742272² = 17575227119443968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 876043 + ... + 876149.

Almost surely, 2^93742272 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 93742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856694).

93742272 is an abundant number, since it is smaller than the sum of its proper divisors (209971116).

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

93742272 is a wasteful number, since it uses less digits than its factorization.

93742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 93742272 is about 9682.0592850901. The cubic root of 93742272 is about 454.2676654580.

The spelling of 93742272 in words is "ninety-three million, seven hundred forty-two thousand, two hundred seventy-two".