72346248 has 96 divisors (see below), whose sum is σ = 216816600. Its totient is φ = 21648384.

The previous prime is 72346229. The next prime is 72346259. The reversal of 72346248 is 84264327.

72346248 is a `hidden beast` number, since 7 + 23 + 4 + 624 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70862724 + 1483524 = 8418^2 + 1218^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 33588 + ... + 35676.

Almost surely, 2^72346248 is an apocalyptic number.

72346248 is a gapful number since it is divisible by the number (78) 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 72346248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108408300).

72346248 is an abundant number, since it is smaller than the sum of its proper divisors (144470352).

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

72346248 is a wasteful number, since it uses less digits than its factorization.

72346248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2144 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72346248 is about 8505.6597627697. The cubic root of 72346248 is about 416.6825733305.

It can be divided in two parts, 723 and 46248, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 72346248 in words is "seventy-two million, three hundred forty-six thousand, two hundred forty-eight".