72718410 has 32 divisors (see below), whose sum is σ = 182113920. Its totient is φ = 18548288.

The previous prime is 72718409. The next prime is 72718411. The reversal of 72718410 is 1481727.

It is an interprime number because it is at equal distance from previous prime (72718409) and next prime (72718411).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72718411) 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 15 ways as a sum of consecutive naturals, for example, 52005 + ... + 53384.

It is an arithmetic number, because the mean of its divisors is an integer number (5691060).

Almost surely, 2^72718410 is an apocalyptic number.

72718410 is an abundant number, since it is smaller than the sum of its proper divisors (109395510).

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

72718410 is a wasteful number, since it uses less digits than its factorization.

72718410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105422.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 72718410 is about 8527.5090149469. The cubic root of 72718410 is about 417.3958481399.

The spelling of 72718410 in words is "seventy-two million, seven hundred eighteen thousand, four hundred ten".