73776 has 40 divisors (see below), whose sum is σ = 200880. Its totient is φ = 23296.

The previous prime is 73771. The next prime is 73783. The reversal of 73776 is 67737.

73776 = T₂₄ + T₂₅ + ... + T₇₆.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73771) by changing a digit.

73776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁷³⁷⁷⁶ 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 73776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

73776 is an abundant number, since it is smaller than the sum of its proper divisors (127104).

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

73776 is a wasteful number, since it uses less digits than its factorization.

73776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 6174, while the sum is 30.

The square root of 73776 is about 271.6173779418. The cubic root of 73776 is about 41.9409601298.

The spelling of 73776 in words is "seventy-three thousand, seven hundred seventy-six".