72430372771680 has 4608 divisors, whose sum is σ = 332704548126720. Its totient is φ = 12875563008000.

The previous prime is 72430372771621. The next prime is 72430372771721. The reversal of 72430372771680 is 8617727303427.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 72430372771680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 570317895777 + ... + 570317895903.

It is an arithmetic number, because the mean of its divisors is an integer number (72201507840).

Almost surely, 2^{72430372771680} is an apocalyptic number.

72430372771680 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 72430372771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166352274063360).

72430372771680 is an abundant number, since it is smaller than the sum of its proper divisors (260274175355040).

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

72430372771680 is a wasteful number, since it uses less digits than its factorization.

72430372771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 57.

The spelling of 72430372771680 in words is "seventy-two trillion, four hundred thirty billion, three hundred seventy-two million, seven hundred seventy-one thousand, six hundred eighty".