72759400 has 48 divisors (see below), whose sum is σ = 193335840. Its totient is φ = 24945600.

The previous prime is 72759391. The next prime is 72759403. The reversal of 72759400 is 495727.

72759400 = T₃₉₂ + T₃₉₃ + ... + T₇₉₁.

It is not an unprimeable number, because it can be changed into a prime (72759403) by changing a digit.

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, 24586 + ... + 27385.

It is an arithmetic number, because the mean of its divisors is an integer number (4027830).

Almost surely, 2^72759400 is an apocalyptic number.

72759400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72759400 is an abundant number, since it is smaller than the sum of its proper divisors (120576440).

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

72759400 is a wasteful number, since it uses less digits than its factorization.

72759400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51994 (or 51985 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72759400 is about 8529.9120745762. The cubic root of 72759400 is about 417.4742594717.

The spelling of 72759400 in words is "seventy-two million, seven hundred fifty-nine thousand, four hundred".