65972790 has 96 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 16063488.

The previous prime is 65972773. The next prime is 65972791. The reversal of 65972790 is 9727956.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65972791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131961 + ... + 132459.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^65972790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65972790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

65972790 is an abundant number, since it is smaller than the sum of its proper divisors (120759210).

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

65972790 is a wasteful number, since it uses less digits than its factorization.

65972790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 65972790 is about 8122.3635722615. The cubic root of 65972790 is about 404.0684579936.

The spelling of 65972790 in words is "sixty-five million, nine hundred seventy-two thousand, seven hundred ninety".