73267400 has 48 divisors (see below), whose sum is σ = 174968340. Its totient is φ = 28512000.

The previous prime is 73267391. The next prime is 73267423. The reversal of 73267400 is 476237.

It can be written as a sum of positive squares in 6 ways, for example, as 61748164 + 11519236 = 7858^2 + 3394^2 .

It is a super-2 number, since 2×73267400² = 10736223805520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2450 + ... + 12350.

Almost surely, 2^73267400 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 73267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87484170).

73267400 is an abundant number, since it is smaller than the sum of its proper divisors (101700940).

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

73267400 is a wasteful number, since it uses less digits than its factorization.

73267400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 73267400 is about 8559.6378428062. The cubic root of 73267400 is about 418.4435970496.

The spelling of 73267400 in words is "seventy-three million, two hundred sixty-seven thousand, four hundred".