72914520 has 128 divisors (see below), whose sum is σ = 254269440. Its totient is φ = 16381440.

The previous prime is 72914519. The next prime is 72914537. The reversal of 72914520 is 2541927.

It is a Cunningham number, because it is equal to 8539²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 50529 + ... + 51951.

It is an arithmetic number, because the mean of its divisors is an integer number (1986480).

Almost surely, 2^72914520 is an apocalyptic number.

72914520 is a gapful number since it is divisible by the number (70) 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 72914520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127134720).

72914520 is an abundant number, since it is smaller than the sum of its proper divisors (181354920).

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

72914520 is a wasteful number, since it uses less digits than its factorization.

72914520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 72914520 is about 8538.9999414451. Note that the first 4 decimals coincide. The cubic root of 72914520 is about 417.7707281098.

It can be divided in two parts, 7291 and 4520, that added together give a palindrome (11811).

The spelling of 72914520 in words is "seventy-two million, nine hundred fourteen thousand, five hundred twenty".