73131960 has 128 divisors (see below), whose sum is σ = 253497600. Its totient is φ = 16680960.

The previous prime is 73131937. The next prime is 73131983. The reversal of 73131960 is 6913137.

It is an interprime number because it is at equal distance from previous prime (73131937) and next prime (73131983).

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, 20811 + ... + 24069.

It is an arithmetic number, because the mean of its divisors is an integer number (1980450).

Almost surely, 2^73131960 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 73131960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126748800).

73131960 is an abundant number, since it is smaller than the sum of its proper divisors (180365640).

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

73131960 is a wasteful number, since it uses less digits than its factorization.

73131960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 73131960 is about 8551.7226334815. The cubic root of 73131960 is about 418.1855970902.

The spelling of 73131960 in words is "seventy-three million, one hundred thirty-one thousand, nine hundred sixty".