73477120 has 88 divisors (see below), whose sum is σ = 179218944. Its totient is φ = 28901376.

The previous prime is 73477093. The next prime is 73477147. The reversal of 73477120 is 2177437.

It is an interprime number because it is at equal distance from previous prime (73477093) and next prime (73477147).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578497 + ... + 578623.

Almost surely, 2^73477120 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 73477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89609472).

73477120 is an abundant number, since it is smaller than the sum of its proper divisors (105741824).

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

73477120 is a wasteful number, since it uses less digits than its factorization.

73477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 73477120 is about 8571.8796071807. The cubic root of 73477120 is about 418.8424665486.

The spelling of 73477120 in words is "seventy-three million, four hundred seventy-seven thousand, one hundred twenty".