72767240 has 64 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 23028480.

The previous prime is 72767231. The next prime is 72767267. The reversal of 72767240 is 4276727.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72767240.

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 15 ways as a sum of consecutive naturals, for example, 6356 + ... + 13635.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740).

Almost surely, 2^72767240 is an apocalyptic number.

72767240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72767240 is an abundant number, since it is smaller than the sum of its proper divisors (128752120).

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

72767240 is a wasteful number, since it uses less digits than its factorization.

72767240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 72767240 is about 8530.3716214477. The cubic root of 72767240 is about 417.4892535511.

The spelling of 72767240 in words is "seventy-two million, seven hundred sixty-seven thousand, two hundred forty".