93252672 has 84 divisors (see below), whose sum is σ = 278952960. Its totient is φ = 29728512.

The previous prime is 93252647. The next prime is 93252673. The reversal of 93252672 is 27625239.

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

It is not an unprimeable number, because it can be changed into a prime (93252673) 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, 9729 + ... + 16767.

Almost surely, 2^93252672 is an apocalyptic number.

93252672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139476480).

93252672 is an abundant number, since it is smaller than the sum of its proper divisors (185700288).

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

93252672 is a wasteful number, since it uses less digits than its factorization.

93252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 7067 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 93252672 is about 9656.7423078386. The cubic root of 93252672 is about 453.4754302726.

The spelling of 93252672 in words is "ninety-three million, two hundred fifty-two thousand, six hundred seventy-two".