73965312000 has 1152 divisors, whose sum is σ = 292988404800. Its totient is φ = 18579456000.

The previous prime is 73965311989. The next prime is 73965312011. The reversal of 73965312000 is 21356937.

It is an interprime number because it is at equal distance from previous prime (73965311989) and next prime (73965312011).

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 1804031980 + ... + 1804032020.

Almost surely, 2^73965312000 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 73965312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146494202400).

73965312000 is an abundant number, since it is smaller than the sum of its proper divisors (219023092800).

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

73965312000 is an equidigital number, since it uses as much as digits as its factorization.

73965312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 73965312000 its reverse (21356937), we get a palindrome (73986668937).

The spelling of 73965312000 in words is "seventy-three billion, nine hundred sixty-five million, three hundred twelve thousand".