91455672 has 128 divisors (see below), whose sum is σ = 288115200. Its totient is φ = 23696640.

The previous prime is 91455671. The next prime is 91455697. The reversal of 91455672 is 27655419.

Its product of digits (75600) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 91455672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91455671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223404 + ... + 223812.

It is an arithmetic number, because the mean of its divisors is an integer number (2250900).

Almost surely, 2^91455672 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 91455672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144057600).

91455672 is an abundant number, since it is smaller than the sum of its proper divisors (196659528).

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

91455672 is a wasteful number, since it uses less digits than its factorization.

91455672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 91455672 is about 9563.2458924781. The cubic root of 91455672 is about 450.5436589736.

It can be divided in two parts, 914556 and 72, that added together give a triangular number (914628 = T₁₃₅₂).

The spelling of 91455672 in words is "ninety-one million, four hundred fifty-five thousand, six hundred seventy-two".