73772415360 has 640 divisors, whose sum is σ = 314217446400. Its totient is φ = 16127299584.

The previous prime is 73772415359. The next prime is 73772415377. The reversal of 73772415360 is 6351427737.

73772415360 is a `hidden beast` number, since 7 + 3 + 7 + 72 + 41 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8341821 + ... + 8350659.

It is an arithmetic number, because the mean of its divisors is an integer number (490964760).

Almost surely, 2^73772415360 is an apocalyptic number.

73772415360 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 73772415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157108723200).

73772415360 is an abundant number, since it is smaller than the sum of its proper divisors (240445031040).

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

73772415360 is a wasteful number, since it uses less digits than its factorization.

73772415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 73772415360 in words is "seventy-three billion, seven hundred seventy-two million, four hundred fifteen thousand, three hundred sixty".