73387434120 has 384 divisors, whose sum is σ = 297847307520. Its totient is φ = 14076057600.

The previous prime is 73387434101. The next prime is 73387434163. The reversal of 73387434120 is 2143478337.

It is a happy number.

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

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, 1293550 + ... + 1349090.

It is an arithmetic number, because the mean of its divisors is an integer number (775644030).

Almost surely, 2^73387434120 is an apocalyptic number.

73387434120 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 73387434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148923653760).

73387434120 is an abundant number, since it is smaller than the sum of its proper divisors (224459873400).

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

73387434120 is a wasteful number, since it uses less digits than its factorization.

73387434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55597 (or 55582 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 73387434120 in words is "seventy-three billion, three hundred eighty-seven million, four hundred thirty-four thousand, one hundred twenty".