73374672 has 80 divisors (see below), whose sum is σ = 218414592. Its totient is φ = 20791680.

The previous prime is 73374671. The next prime is 73374689. The reversal of 73374672 is 27647337.

It is a super-2 number, since 2×73374672² = 10767684982215168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 73374672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73374671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43183 + ... + 44849.

Almost surely, 2^73374672 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 73374672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109207296).

73374672 is an abundant number, since it is smaller than the sum of its proper divisors (145039920).

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

73374672 is a wasteful number, since it uses less digits than its factorization.

73374672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 73374672 is about 8565.9017038488. The cubic root of 73374672 is about 418.6477141722.

The spelling of 73374672 in words is "seventy-three million, three hundred seventy-four thousand, six hundred seventy-two".