73142479872 has 1408 divisors, whose sum is σ = 298824007680. Its totient is φ = 17093099520.

The previous prime is 73142479859. The next prime is 73142479931. The reversal of 73142479872 is 27897424137.

73142479872 is a `hidden beast` number, since 7 + 314 + 247 + 9 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1556222953 + ... + 1556222999.

It is an arithmetic number, because the mean of its divisors is an integer number (212232960).

Almost surely, 2^73142479872 is an apocalyptic number.

73142479872 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 73142479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149412003840).

73142479872 is an abundant number, since it is smaller than the sum of its proper divisors (225681527808).

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

73142479872 is a wasteful number, since it uses less digits than its factorization.

73142479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 73142479872 in words is "seventy-three billion, one hundred forty-two million, four hundred seventy-nine thousand, eight hundred seventy-two".