73740123432 has 192 divisors, whose sum is σ = 214229620800. Its totient is φ = 22846924800.

The previous prime is 73740123407. The next prime is 73740123461. The reversal of 73740123432 is 23432104737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15610623 + ... + 15615345.

It is an arithmetic number, because the mean of its divisors is an integer number (1115779275).

Almost surely, 2^73740123432 is an apocalyptic number.

73740123432 is a gapful number since it is divisible by the number (72) 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 73740123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107114810400).

73740123432 is an abundant number, since it is smaller than the sum of its proper divisors (140489497368).

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

73740123432 is a wasteful number, since it uses less digits than its factorization.

73740123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 73740123432 in words is "seventy-three billion, seven hundred forty million, one hundred twenty-three thousand, four hundred thirty-two".