72452016 has 320 divisors, whose sum is σ = 272204800. Its totient is φ = 17915904.

The previous prime is 72451993. The next prime is 72452057. The reversal of 72452016 is 61025427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 746880 + ... + 746976.

It is an arithmetic number, because the mean of its divisors is an integer number (850640).

Almost surely, 2^72452016 is an apocalyptic number.

72452016 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 72452016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136102400).

72452016 is an abundant number, since it is smaller than the sum of its proper divisors (199752784).

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

72452016 is a wasteful number, since it uses less digits than its factorization.

72452016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72452016 is about 8511.8749990822. The cubic root of 72452016 is about 416.8855335112.

It can be divided in two parts, 7245 and 2016, that added together give a cube (9261 = 21³).

The spelling of 72452016 in words is "seventy-two million, four hundred fifty-two thousand, sixteen".