73788000 has 384 divisors, whose sum is σ = 290594304. Its totient is φ = 16128000.

The previous prime is 73787999. The next prime is 73788017. The reversal of 73788000 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715979 + ... + 1716021.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 2^73788000 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 73788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

73788000 is an abundant number, since it is smaller than the sum of its proper divisors (216806304).

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

73788000 is a wasteful number, since it uses less digits than its factorization.

73788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

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

The square root of 73788000 is about 8589.9941792763. The cubic root of 73788000 is about 419.4323396877.

The spelling of 73788000 in words is "seventy-three million, seven hundred eighty-eight thousand".