72688140 has 72 divisors (see below), whose sum is σ = 251989920. Its totient is φ = 16614144.

The previous prime is 72688139. The next prime is 72688157. The reversal of 72688140 is 4188627.

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

It is a junction number, because it is equal to n+sod(n) for n = 72688095 and 72688104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27585 + ... + 30104.

It is an arithmetic number, because the mean of its divisors is an integer number (3499860).

Almost surely, 2^72688140 is an apocalyptic number.

72688140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72688140 is an abundant number, since it is smaller than the sum of its proper divisors (179301780).

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

72688140 is a wasteful number, since it uses less digits than its factorization.

72688140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57711 (or 57706 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72688140 is about 8525.7339859979. The cubic root of 72688140 is about 417.3379245878.

The spelling of 72688140 in words is "seventy-two million, six hundred eighty-eight thousand, one hundred forty".