72717400 has 48 divisors (see below), whose sum is σ = 193224240. Its totient is φ = 24931200.

The previous prime is 72717377. The next prime is 72717439. The reversal of 72717400 is 471727.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 24571 + ... + 27370.

It is an arithmetic number, because the mean of its divisors is an integer number (4025505).

Almost surely, 2^72717400 is an apocalyptic number.

72717400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72717400 is an abundant number, since it is smaller than the sum of its proper divisors (120506840).

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

72717400 is a wasteful number, since it uses less digits than its factorization.

72717400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51964 (or 51955 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 72717400 is about 8527.4497946338. The cubic root of 72717400 is about 417.3939157005.

The spelling of 72717400 in words is "seventy-two million, seven hundred seventeen thousand, four hundred".