73672578 has 60 divisors (see below), whose sum is σ = 192053862. Its totient is φ = 21047040.

The previous prime is 73672559. The next prime is 73672579. The reversal of 73672578 is 87527637.

73672578 is a `hidden beast` number, since 7 + 3 + 6 + 72 + 578 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48902049 + 24770529 = 6993^2 + 4977^2 .

It is a super-3 number, since 3×73672578³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73672579) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3298 + ... + 12578.

Almost surely, 2^73672578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73672578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96026931).

73672578 is an abundant number, since it is smaller than the sum of its proper divisors (118381284).

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

73672578 is a wasteful number, since it uses less digits than its factorization.

73672578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9309 (or 9293 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 73672578 is about 8583.2731518926. The cubic root of 73672578 is about 419.2135282100.

The spelling of 73672578 in words is "seventy-three million, six hundred seventy-two thousand, five hundred seventy-eight".