72547776 has 168 divisors, whose sum is σ = 250423680. Its totient is φ = 19616256.

The previous prime is 72547771. The next prime is 72547777. The reversal of 72547776 is 67774527.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76135 + ... + 77081.

Almost surely, 2^72547776 is an apocalyptic number.

72547776 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 72547776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125211840).

72547776 is an abundant number, since it is smaller than the sum of its proper divisors (177875904).

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

72547776 is a wasteful number, since it uses less digits than its factorization.

72547776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 978 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 72547776 is about 8517.4982242440. The cubic root of 72547776 is about 417.0691188500.

The spelling of 72547776 in words is "seventy-two million, five hundred forty-seven thousand, seven hundred seventy-six".