90729312 has 96 divisors (see below), whose sum is σ = 251919360. Its totient is φ = 28546560.

The previous prime is 90729307. The next prime is 90729337. The reversal of 90729312 is 21392709.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127614 + ... + 128322.

It is an arithmetic number, because the mean of its divisors is an integer number (2624160).

Almost surely, 2^90729312 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 90729312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959680).

90729312 is an abundant number, since it is smaller than the sum of its proper divisors (161190048).

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

90729312 is a wasteful number, since it uses less digits than its factorization.

90729312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 90729312 is about 9525.1935413408. The cubic root of 90729312 is about 449.3477166885.

The spelling of 90729312 in words is "ninety million, seven hundred twenty-nine thousand, three hundred twelve".