72014880 has 96 divisors (see below), whose sum is σ = 259265664. Its totient is φ = 16459776.

The previous prime is 72014879. The next prime is 72014881. The reversal of 72014880 is 8841027.

It is an interprime number because it is at equal distance from previous prime (72014879) and next prime (72014881).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72014880² = 10372285882828800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (72014881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7357 + ... + 14076.

It is an arithmetic number, because the mean of its divisors is an integer number (2700684).

Almost surely, 2^72014880 is an apocalyptic number.

72014880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72014880 is an abundant number, since it is smaller than the sum of its proper divisors (187250784).

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

72014880 is a wasteful number, since it uses less digits than its factorization.

72014880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21458 (or 21450 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 72014880 is about 8486.1581413499. The cubic root of 72014880 is about 416.0454215690.

The spelling of 72014880 in words is "seventy-two million, fourteen thousand, eight hundred eighty".