73672100 has 18 divisors (see below), whose sum is σ = 159868674. Its totient is φ = 29468800.

The previous prime is 73672099. The next prime is 73672103. The reversal of 73672100 is 127637.

It can be written as a sum of positive squares in 3 ways, for example, as 5345344 + 68326756 = 2312^2 + 8266^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73672100.

It is not an unprimeable number, because it can be changed into a prime (73672103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368261 + ... + 368460.

It is an arithmetic number, because the mean of its divisors is an integer number (8881593).

Almost surely, 2^73672100 is an apocalyptic number.

It is an amenable number.

73672100 is an abundant number, since it is smaller than the sum of its proper divisors (86196574).

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

73672100 is a wasteful number, since it uses less digits than its factorization.

73672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736735 (or 736728 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 73672100 is about 8583.2453069920. The cubic root of 73672100 is about 419.2126215656.

Adding to 73672100 its reverse (127637), we get a palindrome (73799737).

The spelling of 73672100 in words is "seventy-three million, six hundred seventy-two thousand, one hundred".