73671564120 has 256 divisors, whose sum is σ = 275865108480. Its totient is φ = 15290918400.

The previous prime is 73671564119. The next prime is 73671564121. The reversal of 73671564120 is 2146517637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73671564119) and next prime (73671564121).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73671564121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9078865 + ... + 9086975.

It is an arithmetic number, because the mean of its divisors is an integer number (1077598080).

Almost surely, 2^73671564120 is an apocalyptic number.

73671564120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73671564120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137932554240).

73671564120 is an abundant number, since it is smaller than the sum of its proper divisors (202193544360).

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

73671564120 is a wasteful number, since it uses less digits than its factorization.

73671564120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 73671564120 in words is "seventy-three billion, six hundred seventy-one million, five hundred sixty-four thousand, one hundred twenty".