72490541760 has 1120 divisors, whose sum is σ = 322479814272. Its totient is φ = 15049359360.

The previous prime is 72490541759. The next prime is 72490541777. The reversal of 72490541760 is 6714509427.

72490541760 is a `hidden beast` number, since 7 + 2 + 49 + 0 + 541 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 172186350 + ... + 172186770.

Almost surely, 2^72490541760 is an apocalyptic number.

72490541760 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 72490541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239907136).

72490541760 is an abundant number, since it is smaller than the sum of its proper divisors (249989272512).

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

72490541760 is a wasteful number, since it uses less digits than its factorization.

72490541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

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

The spelling of 72490541760 in words is "seventy-two billion, four hundred ninety million, five hundred forty-one thousand, seven hundred sixty".