73727676 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 20563200.

The previous prime is 73727653. The next prime is 73727683. The reversal of 73727676 is 67672737.

73727676 = T₂₉₉ + T₃₀₀ + ... + T₇₇₆.

73727676 is a modest number, since divided by 7676 gives 7372 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308365 + ... + 308603.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^73727676 is an apocalyptic number.

73727676 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

73727676 is the 7011-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73727676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

73727676 is an abundant number, since it is smaller than the sum of its proper divisors (146419524).

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

73727676 is a wasteful number, since it uses less digits than its factorization.

73727676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 518616, while the sum is 45.

The square root of 73727676 is about 8586.4821667549. The cubic root of 73727676 is about 419.3180088363.

The spelling of 73727676 in words is "seventy-three million, seven hundred twenty-seven thousand, six hundred seventy-six".