73797120 has 120 divisors (see below), whose sum is σ = 255659976. Its totient is φ = 19673088.

The previous prime is 73797103. The next prime is 73797137. The reversal of 73797120 is 2179737.

It is an interprime number because it is at equal distance from previous prime (73797103) and next prime (73797137).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21439 + ... + 24641.

Almost surely, 2^73797120 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 73797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127829988).

73797120 is an abundant number, since it is smaller than the sum of its proper divisors (181862856).

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

73797120 is a wasteful number, since it uses less digits than its factorization.

73797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 73797120 is about 8590.5250130594. The cubic root of 73797120 is about 419.4496192154.

The spelling of 73797120 in words is "seventy-three million, seven hundred ninety-seven thousand, one hundred twenty".