166972416 has 176 divisors, whose sum is σ = 496585824. Its totient is φ = 49545216.

The previous prime is 166972409. The next prime is 166972423. The reversal of 166972416 is 614279661.

It is an interprime number because it is at equal distance from previous prime (166972409) and next prime (166972423).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (108864) is a multiple of the sum of its prime divisors (168).

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, 1477576 + ... + 1477688.

Almost surely, 2^166972416 is an apocalyptic number.

166972416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248292912).

166972416 is an abundant number, since it is smaller than the sum of its proper divisors (329613408).

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

166972416 is a wasteful number, since it uses less digits than its factorization.

166972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 166972416 is about 12921.7806822434. The cubic root of 166972416 is about 550.6575232616.

The spelling of 166972416 in words is "one hundred sixty-six million, nine hundred seventy-two thousand, four hundred sixteen".