72461760 has 224 divisors, whose sum is σ = 270369792. Its totient is φ = 16097280.

The previous prime is 72461747. The next prime is 72461761. The reversal of 72461760 is 6716427.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72461761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275389 + ... + 275651.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^72461760 is an apocalyptic number.

72461760 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 72461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

72461760 is an abundant number, since it is smaller than the sum of its proper divisors (197908032).

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

72461760 is a wasteful number, since it uses less digits than its factorization.

72461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72461760 is about 8512.4473566654. The cubic root of 72461760 is about 416.9042215145.

The spelling of 72461760 in words is "seventy-two million, four hundred sixty-one thousand, seven hundred sixty".