90729000 has 192 divisors, whose sum is σ = 325250640. Its totient is φ = 22732800.

The previous prime is 90728987. The next prime is 90729013. The reversal of 90729000 is 92709.

It is an interprime number because it is at equal distance from previous prime (90728987) and next prime (90729013).

It can be written as a sum of positive squares in 8 ways, for example, as 12830724 + 77898276 = 3582^2 + 8826^2 .

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 47 ways as a sum of consecutive naturals, for example, 152704 + ... + 153296.

Almost surely, 2^90729000 is an apocalyptic number.

90729000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162625320).

90729000 is an abundant number, since it is smaller than the sum of its proper divisors (234521640).

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

90729000 is a wasteful number, since it uses less digits than its factorization.

90729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 90729000 is about 9525.1771637067. The cubic root of 90729000 is about 449.3472016156.

It can be divided in two parts, 90 and 729000, that multiplied together give a 4-th power (65610000 = 90⁴).

The spelling of 90729000 in words is "ninety million, seven hundred twenty-nine thousand".