72766848 has 256 divisors, whose sum is σ = 253808640. Its totient is φ = 17909760.

The previous prime is 72766801. The next prime is 72766853. The reversal of 72766848 is 84866727.

It is a super-3 number, since 3×72766848³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72766797 and 72766806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680011 + ... + 680117.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 2^72766848 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 72766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

72766848 is an abundant number, since it is smaller than the sum of its proper divisors (181041792).

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

72766848 is a wasteful number, since it uses less digits than its factorization.

72766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 72766848 is about 8530.3486446921. The cubic root of 72766848 is about 417.4885038727.

The spelling of 72766848 in words is "seventy-two million, seven hundred sixty-six thousand, eight hundred forty-eight".