72471776 has 96 divisors (see below), whose sum is σ = 165745440. Its totient is φ = 30910464.

The previous prime is 72471761. The next prime is 72471779. The reversal of 72471776 is 67717427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72471779) 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 15 ways as a sum of consecutive naturals, for example, 418826 + ... + 418998.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515).

Almost surely, 2^72471776 is an apocalyptic number.

72471776 is a gapful number since it is divisible by the number (76) 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 72471776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82872720).

72471776 is an abundant number, since it is smaller than the sum of its proper divisors (93273664).

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

72471776 is a wasteful number, since it uses less digits than its factorization.

72471776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 115248, while the sum is 41.

The square root of 72471776 is about 8513.0356512821. The cubic root of 72471776 is about 416.9234294402.

The spelling of 72471776 in words is "seventy-two million, four hundred seventy-one thousand, seven hundred seventy-six".