90003672 has 72 divisors (see below), whose sum is σ = 267960420. Its totient is φ = 27271200.

The previous prime is 90003659. The next prime is 90003679. The reversal of 90003672 is 27630009.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90003679) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3547 + ... + 13877.

Almost surely, 2^90003672 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 90003672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133980210).

90003672 is an abundant number, since it is smaller than the sum of its proper divisors (177956748).

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

90003672 is a wasteful number, since it uses less digits than its factorization.

90003672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10365 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 90003672 is about 9487.0265099240. The cubic root of 90003672 is about 448.1465692833.

The spelling of 90003672 in words is "ninety million, three thousand, six hundred seventy-two".