73914120 has 160 divisors (see below), whose sum is σ = 284011200. Its totient is φ = 16889472.

The previous prime is 73914109. The next prime is 73914131. The reversal of 73914120 is 2141937.

It is an interprime number because it is at equal distance from previous prime (73914109) and next prime (73914131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21051 + ... + 24309.

It is an arithmetic number, because the mean of its divisors is an integer number (1775070).

Almost surely, 2^73914120 is an apocalyptic number.

73914120 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 73914120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142005600).

73914120 is an abundant number, since it is smaller than the sum of its proper divisors (210097080).

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

73914120 is a wasteful number, since it uses less digits than its factorization.

73914120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73914120 is about 8597.3321443341. The cubic root of 73914120 is about 419.6711711901.

It can be divided in two parts, 7391 and 4120, that added together give a palindrome (11511).

The spelling of 73914120 in words is "seventy-three million, nine hundred fourteen thousand, one hundred twenty".