73720872 has 48 divisors (see below), whose sum is σ = 205064340. Its totient is φ = 23908608.

The previous prime is 73720841. The next prime is 73720903. The reversal of 73720872 is 27802737.

It is an interprime number because it is at equal distance from previous prime (73720841) and next prime (73720903).

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 1028196 = 8526^2 + 1014^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11173 + ... + 16500.

Almost surely, 2^73720872 is an apocalyptic number.

73720872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73720872 is an abundant number, since it is smaller than the sum of its proper divisors (131343468).

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

73720872 is a wasteful number, since it uses less digits than its factorization.

73720872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27722 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 73720872 is about 8586.0859534482. The cubic root of 73720872 is about 419.3051094401.

It can be divided in two parts, 737 and 20872, that added together give a square (21609 = 147²).

The spelling of 73720872 in words is "seventy-three million, seven hundred twenty thousand, eight hundred seventy-two".