72508821 has 32 divisors (see below), whose sum is σ = 122259456. Its totient is φ = 37128000.

The previous prime is 72508801. The next prime is 72508829. The reversal of 72508821 is 12880527.

It is not a de Polignac number, because 72508821 - 2⁹ = 72508309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72508829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14191 + ... + 18611.

It is an arithmetic number, because the mean of its divisors is an integer number (3820608).

Almost surely, 2^72508821 is an apocalyptic number.

72508821 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72508821 is a deficient number, since it is larger than the sum of its proper divisors (49750635).

72508821 is a wasteful number, since it uses less digits than its factorization.

72508821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 72508821 is about 8515.2111541641. The cubic root of 72508821 is about 416.9944561599.

The spelling of 72508821 in words is "seventy-two million, five hundred eight thousand, eight hundred twenty-one".