72521429760 has 1152 divisors, whose sum is σ = 295372062720. Its totient is φ = 16721510400.

The previous prime is 72521429741. The next prime is 72521429779. The reversal of 72521429760 is 6792412527.

It is an interprime number because it is at equal distance from previous prime (72521429741) and next prime (72521429779).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×72521429760² (a number of 23 digits) contains 22 as substring.

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

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, 571034817 + ... + 571034943.

It is an arithmetic number, because the mean of its divisors is an integer number (256399360).

Almost surely, 2^72521429760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72521429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147686031360).

72521429760 is an abundant number, since it is smaller than the sum of its proper divisors (222850632960).

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

72521429760 is a wasteful number, since it uses less digits than its factorization.

72521429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72521429760 in words is "seventy-two billion, five hundred twenty-one million, four hundred twenty-nine thousand, seven hundred sixty".