73788 has 48 divisors (see below), whose sum is σ = 206976. Its totient is φ = 20160.

The previous prime is 73783. The next prime is 73819. The reversal of 73788 is 88737.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

2⁷³⁷⁸⁸ is an apocalyptic number.

73788 is a gapful number since it is divisible by the number (78) 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 73788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488).

73788 is an abundant number, since it is smaller than the sum of its proper divisors (133188).

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

73788 is a wasteful number, since it uses less digits than its factorization.

73788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 73788 is about 271.6394669410. The cubic root of 73788 is about 41.9432339688.

It can be divided in two parts, 73 and 788, that added together give a triangular number (861 = T₄₁).

The spelling of 73788 in words is "seventy-three thousand, seven hundred eighty-eight".