73788990 has 64 divisors (see below), whose sum is σ = 199452672. Its totient is φ = 17308800.

The previous prime is 73788983. The next prime is 73788997. The reversal of 73788990 is 9988737.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73788983) and next prime (73788997).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73788997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6624 + ... + 13836.

It is an arithmetic number, because the mean of its divisors is an integer number (3116448).

Almost surely, 2^73788990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73788990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99726336).

73788990 is an abundant number, since it is smaller than the sum of its proper divisors (125663682).

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

73788990 is a wasteful number, since it uses less digits than its factorization.

73788990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265.

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 73788990 is about 8590.0518042675. The cubic root of 73788990 is about 419.4342154948.

The spelling of 73788990 in words is "seventy-three million, seven hundred eighty-eight thousand, nine hundred ninety".