65972760 has 64 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 15079296.

The previous prime is 65972749. The next prime is 65972771. The reversal of 65972760 is 6727956.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65972749) and next prime (65972771).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38430 + ... + 40109.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2^65972760 is an apocalyptic number.

65972760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65972760 is an abundant number, since it is smaller than the sum of its proper divisors (160222440).

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

65972760 is a wasteful number, since it uses less digits than its factorization.

65972760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78560 (or 78556 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 65972760 is about 8122.3617255082. The cubic root of 65972760 is about 404.0683967458.

The spelling of 65972760 in words is "sixty-five million, nine hundred seventy-two thousand, seven hundred sixty".