73507920 has 80 divisors (see below), whose sum is σ = 230818560. Its totient is φ = 19348992.

The previous prime is 73507919. The next prime is 73507921. The reversal of 73507920 is 2970537.

It is an interprime number because it is at equal distance from previous prime (73507919) and next prime (73507921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73507921) 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, 17022 + ... + 20898.

It is an arithmetic number, because the mean of its divisors is an integer number (2885232).

Almost surely, 2^73507920 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 73507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115409280).

73507920 is an abundant number, since it is smaller than the sum of its proper divisors (157310640).

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

73507920 is a wasteful number, since it uses less digits than its factorization.

73507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 73507920 is about 8573.6759910787. The cubic root of 73507920 is about 418.9009815706.

The spelling of 73507920 in words is "seventy-three million, five hundred seven thousand, nine hundred twenty".