90351072 has 96 divisors (see below), whose sum is σ = 301190400. Its totient is φ = 25812864.

The previous prime is 90351059. The next prime is 90351083. The reversal of 90351072 is 27015309.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1422 + ... + 13517.

It is an arithmetic number, because the mean of its divisors is an integer number (3137400).

Almost surely, 2^90351072 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 90351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595200).

90351072 is an abundant number, since it is smaller than the sum of its proper divisors (210839328).

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

90351072 is a wasteful number, since it uses less digits than its factorization.

90351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90351072 is about 9505.3180904165. The cubic root of 90351072 is about 448.7224207464.

The spelling of 90351072 in words is "ninety million, three hundred fifty-one thousand, seventy-two".