91725952 has 64 divisors (see below), whose sum is σ = 189964800. Its totient is φ = 44089344.

The previous prime is 91725941. The next prime is 91725967. The reversal of 91725952 is 25952719.

91725952 = T₂₄₈ + T₂₄₉ + ... + T₈₂₆.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 475168 + ... + 475360.

It is an arithmetic number, because the mean of its divisors is an integer number (2968200).

Almost surely, 2^91725952 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 91725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94982400).

91725952 is an abundant number, since it is smaller than the sum of its proper divisors (98238848).

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

91725952 is a wasteful number, since it uses less digits than its factorization.

91725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its digits is 56700, while the sum is 40.

The square root of 91725952 is about 9577.3666526869. The cubic root of 91725952 is about 450.9870547560.

The spelling of 91725952 in words is "ninety-one million, seven hundred twenty-five thousand, nine hundred fifty-two".