73027920 has 160 divisors (see below), whose sum is σ = 274053888. Its totient is φ = 15704064.

The previous prime is 73027907. The next prime is 73027951. The reversal of 73027920 is 2972037.

It is a super-3 number, since 3×73027920³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27282 + ... + 29838.

Almost surely, 2^73027920 is an apocalyptic number.

73027920 is a gapful number since it is divisible by the number (70) 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 73027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137026944).

73027920 is an abundant number, since it is smaller than the sum of its proper divisors (201025968).

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

73027920 is a wasteful number, since it uses less digits than its factorization.

73027920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 73027920 is about 8545.6374835351. The cubic root of 73027920 is about 417.9871946506.

Adding to 73027920 its reverse (2972037), we get a palindrome (75999957).

The spelling of 73027920 in words is "seventy-three million, twenty-seven thousand, nine hundred twenty".