73577868 has 144 divisors (see below), whose sum is σ = 218405376. Its totient is φ = 18869760.

The previous prime is 73577857. The next prime is 73577869. The reversal of 73577868 is 86877537.

It is a self number, because there is not a number n which added to its sum of digits gives 73577868.

It is not an unprimeable number, because it can be changed into a prime (73577869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007880 + ... + 1007952.

It is an arithmetic number, because the mean of its divisors is an integer number (1516704).

Almost surely, 2^73577868 is an apocalyptic number.

73577868 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 73577868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109202688).

73577868 is an abundant number, since it is smaller than the sum of its proper divisors (144827508).

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

73577868 is a wasteful number, since it uses less digits than its factorization.

73577868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 73577868 is about 8577.7542515509. The cubic root of 73577868 is about 419.0338107799.

It can be divided in two parts, 7357 and 7868, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 73577868 in words is "seventy-three million, five hundred seventy-seven thousand, eight hundred sixty-eight".