93916591272 has 192 divisors, whose sum is σ = 312240240000. Its totient is φ = 25420905216.

The previous prime is 93916591207. The next prime is 93916591277. The reversal of 93916591272 is 27219561939.

93916591272 is a `hidden beast` number, since 9 + 39 + 16 + 591 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×93916591272² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (93916591277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369148 + ... + 569300.

It is an arithmetic number, because the mean of its divisors is an integer number (1626251250).

Almost surely, 2^93916591272 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 93916591272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156120120000).

93916591272 is an abundant number, since it is smaller than the sum of its proper divisors (218323648728).

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

93916591272 is a wasteful number, since it uses less digits than its factorization.

93916591272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200205 (or 200184 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 93916591272 in words is "ninety-three billion, nine hundred sixteen million, five hundred ninety-one thousand, two hundred seventy-two".